







A pond in a garden 
20200409 

Jin pose la question : c) I have a large square pond set inside a square garden: both the pond and the
garden have sides which are a whole number of metres, and outside the pond,
the garden is grassed over. The area covered by grass is 188 square metres.
Find the area of the pond. (5 marks) Penny Nom lui répond. 





How many cubes are in a 3x3x3 cube? 
20190624 

Darren pose la question : Dear Sir/Madam,
How many cubes of different sizes (eg. 1x1x1, 2x2x2, 3x3x3) are there in total in say,
a 3x3x3 cube? I have trouble figuring this out.
Yours faithfully,
Darren Penny Nom lui répond. 





Subdividing a rectangle into squares 
20180513 

jeverzyck pose la question : A rectangular board is 108cm wide and 156 cm long Equal squares as large as possible
are ruled off this board.Find the size of the square.How many squares are there? Penny Nom lui répond. 





Expand (5x9)(5x+9) 
20180301 

adil pose la question : expand the following:
(5x9)(5x+9) Penny Nom lui répond. 





A question about perfect squares 
20180204 

Jolyn pose la question : Find the smallest possible value of a whole number m if 648x m is a perfect square Penny Nom lui répond. 





Squares and rectangles 
20170715 

Tront pose la question : So, there's a general rule that all squares are rectangles but not all rectangles are squares. Im trying to find a term that would describe this relationship. I've found that if all of A is B but not all B is A then I'd say that A is a subset of B, but is there a term that describes the relationship as a whole? I don't want to describe the components, I want to describe the relationship as a whole. Penny Nom lui répond. 





1/1cosine(2x)  1/1+ cos(2x) 
20161214 

Sean pose la question : 1/1cosine(2x)  1/1+ cos(2x) Penny Nom lui répond. 





x^2 = 16 
20161212 

A student pose la question : x to the second power = 16
what number solves the equation? Penny Nom lui répond. 





2^48  1 
20150613 

Soham pose la question : The number 2^481 is divisible by two numbers between 60 and 70. The sum of
the two numbers is? Penny Nom lui répond. 





An 8 pointed star inscribed in a circle 
20150410 

Kermit pose la question : How do you find the area of the star that is formed by two squares and surrounded by a circle. The only given information is that the radius of the circle is 10. Penny Nom lui répond. 





(x3)^2(x+3)^2 
20141113 

Bernice pose la question : (x3)^2(x+3)^2 Penny Nom lui répond. 





Can 100r^281z^2 be factored? 
20131208 

Rosa pose la question : Can 100r^281z^2 be factored? Penny Nom lui répond. 





Squares and cubes 
20130802 

Sandra pose la question : What whole number equals 25 when it is squared and 125 when it is cubed? Penny Nom lui répond. 





(4 4cos^4 x)/(sin^2 x) 
20130518 

Agnes pose la question : How I can solve this question :
Simplify (4 4cos^4 x)/(sin^2 x) and write in terms of sin x Penny Nom lui répond. 





Difference of squares 
20121119 

Qelibar pose la question : Please factorise x^2y^2  4 Penny Nom lui répond. 





Two equations involving fractions 
20120612 

Fatima pose la question : Hi ,teacher gave two question to my daughter as follows
Solve 2/x+3=(1/xx9)(1/x3)and
Solve (4/x2)(x/x+2)=16/xx4
Please help me
Thanks & regards fatima Penny Nom lui répond. 





Sum and difference of squares 
20111231 

Anne pose la question : Se x e y são números reais distintos, então:
a) (x^2 + y^2) / (x  y) = x + y
b) (x^2 + y^2) / (x  y) = x  y
c) (x^2  y^2) / (x  y) = x + y
d) (x^2  y^2) / (x  y) = x  y
e) Nenhuma das alternativas anteriores é verdadeira. Harley Weston lui répond. 





Squares and triangles 
20111206 

Liaqath pose la question : You have squares and triangles.
Altogether there are 33 sides.
How many squares do you have?
How many triangles do you have? Penny Nom lui répond. 





U(n+1) = 2Un + 1 
20110522 

Cillian pose la question : In a certain sequence, to get from one term to the other you multiply by 2 and add 1, i.e. This is a difference equation of form: U(n+1) = 2Un + 1. prove that there is a maximum of 2 perfect squares in this sequence Claude Tardif lui répond. 





Two whole numbers 
20110511 

yolanda pose la question : The sum of two whole numbers is 12.If the sum of the squares of those numbers is 74,what are the two numbers? Penny Nom lui répond. 





(3x+4y)^2  (2xy)^2 
20110316 

Taiwo pose la question : pls could some one help me with this question? thanks as lot
factorize:
(3x+4y)^2  (2xy)^2 Penny Nom lui répond. 





Two problems 
20100413 

Dorothy pose la question : 1. Explain why the number 123, 456, 789, 101, 112 cannot be a perfect square. (Hint: What is the units digit?)
2. A substance doubles in volume every minute. At 9:00A.M., a small amount is placed in a container. At 10:00A.M., the container is just full. At what time was the container oneeighth full? Robert Dawson lui répond. 





Is it a square? 
20100129 

Manick pose la question : I have a question. how to find whether a given integer is a perfect square or not? Robert Dawson lui répond. 





(9  x^2)/(x  3) 
20091204 

Sandy pose la question : 9x^2/x3
I need to know how to solve this.
Thanks Penny Nom lui répond. 





Cubes and squares 
20090916 

Stanley pose la question : What is a three consecutive digit number like 5,6,7 , which is two less than a cube and two more than a square? Robert Dawson lui répond. 





The units digit is 5 
20090202 

Ray pose la question : the number that when squared the units digit is 5 Penny Nom lui répond. 





Factor x^2  y^2 
20090120 

Shell pose la question : complete Factor: x^2y^2 Penny Nom lui répond. 





Factoring 
20081119 

Neji pose la question : How do you factor (yz) (y+z) (y^4+y^2z^2+z^4) and get (y+z)(y^2yz+z^2) (yz) (y^2+yz+z^2) as the answer? Harley Weston lui répond. 





z(z+1)x(x+1) / zx 
20080930 

sylvia pose la question : z(z+1)x(x+1) / zx
HOW DO I SIMPLIFY THIS Penny Nom lui répond. 





a(a+1)  b(b+1) 
20080930 

Shaun pose la question : I need to factor (ab) out of the following: a(a+1)  b(b+1). I know it is simple but I cannot remember how. Penny Nom lui répond. 





Simplifying Algebraic Expressions 
20080822 

Jacky pose la question : x^2y^2+4x+4y Penny Nom lui répond. 





Factoring x^2 + 729 
20080819 

peter pose la question : hello I,am having trouble factorising a polynomial into polynomial factors
with real coefficients please can you help the polynomial is x^2+729 Harley Weston lui répond. 





The sum of the squares of the fibonacci numbers 
20080427 

Thomas pose la question : Hey I have a question for a research topic that our teacher set us, It is regarding the sum of the squares of the fibonacci numbers.
The question says describe the pattern that exists and write a general formula that describes the relationship illustrated above.
I can see the pattern that is occurring but i cannot put this into a general formula.
Any help would be appreciated.
Thanks Tom Victoria West lui répond. 





10 squares drawn one inside another 
20080225 

Rajesh pose la question : There are 10 squares drawn one inside another.The diagonal of the inneremost square is 20 units. if the distance b/w the corresponding corners of any two successive squares is 1 unit, find the diffrence between the areas of the eigth and seventh square counting from the innermost Stephen La Rocque lui répond. 





5x^2  45 
20080211 

Tiana pose la question : factor:
5x^2  45 Stephen La Rocque lui répond. 





Expand (a^4  b^4) 
20071117 

Saif pose la question : how would you expand (a^4  b^4) ??? Stephen La Rocque and Victoria West lui répond. 





A 5 by 5 checkerboard 
20070917 

Darren pose la question : Hi, I'm Darren and i have some questions to ask you about this problem:
In a 5 by 5 checkerboard : how many 2 by 2 squares are there,
what other sizes of squares do you need to count and how many of of each size of squares
can you find; how many squares did you find in all Victoria West lui répond. 





Two squares 
20070818 

Jerry pose la question : The vertex E of a square EFGH is inside a square ABCD. The vertices F, G and H are outside the square ABCD. The side EF meets the side CD at X and the side EH meets the side AD at Y. If EX = EY, prove that E lies on BD. Chris Fisher lui répond. 





Find all numbers which are both squares and cubes 
20070730 

Arul pose la question : what is the easiest way to find the number which is both a square and a cube?
the numbers i know are 64 and 729 which is both a sqr and a cube.
i took long time to solve this.. is there any easier way? Steve La Rocque lui répond. 





Simplifying an algebraic fraction expression 
20070725 

Jessica pose la question : How do I simplify b/(b^{2}25) + 5/(b+5)  6/b? Stephen La Rocque lui répond. 





Simplifying complex denominators 
20070621 

Krys pose la question : How do I simplify completely?
((4+i ) / (3+i ))  ((2i ) / (5i )) Stephen La Rocque lui répond. 





Counting squares 
20070512 

Bridget pose la question : Explain how many squares there are on a board measuring 4 by 4 units, Stephen La Rocque and Penny Nom lui répond. 





Using the "difference of squares" formula how do I compute 27 * 33? 
20070402 

Sarah pose la question : Using the "difference of squares" formula how do I compute 27 * 33? Penny Nom lui répond. 





Factoring polynomials 
20070214 

Joe pose la question : I am in the eighth grade, and we are learning the equivalent of Algebra 2. I have no ides how to factor (x2)(x^21)6x6 You help is most aprreciated. Thank you! Joe Stephen La Rocque lui répond. 





How many squares are there on a checkerboard 
20061217 

Tania pose la question : how many squares are there altogether on the checkerboard (including the 64 small squares)? Penny Nom lui répond. 





Factoring m^49^n 
20061207 

Josh pose la question : I can not figure out how to completely factor m^49^n. Penny Nom lui répond. 





1X2X3X4+1=5^5 
20061123 

Liza pose la question : 1X2X3X4+1=5 square 2x3x4x5+1=11 square What is the rule for this? Stephen La Rocque and Penny Nom lui répond. 





What's 3x squared? 
20061102 

Cath pose la question : What's 3x squared? Penny Nom lui répond. 





Squaring numbers 
20061008 

Timothy pose la question : did anyone ever try to teach that the easiest way to find the next square in a group of numbers is to add the next odd number in the sequence. for example: 1 squared is 1, 2 squared is 4,difference of 3.the next odd number is 5 so the next square would be 4 +5 or 9 Paul Betts and Penny Nom lui répond. 





A square palindrome 
20060911 

Liz pose la question : What is the least threedigit palindrome that is a square number? Stephen La Rocque lui répond. 





Two squares 
20060325 

Debbie pose la question : A small square is constructed. Then a new square is made by increasing each side by 2 meters. The perimeter of the new square is 3 meters shorter than 5 times the length of one side of the original square. Find the dimension of the original square Stephen La Rocque lui répond. 





Find the nth term 
20051214 

Kevin pose la question : How do i find the nth term of 1 4 9 16 25 36 Penny Nom lui répond. 





The perimeter of a collection of squares 
20051211 

Catherine pose la question : using 12 squares, make a number of patterns (squares joined). Find the perimeters. Find out how many points in the shape have four radiating lines i.e. are two lines intersecting. Write an equation to state the relationship between the lines and the perimeter. Penny Nom lui répond. 





Tables with perfect squares 
20051130 

Craig pose la question : A table consists of eleven columns. Reading across the first row of the table we find the numbers 1991, 1992, 1993,..., 2000, 2001. In the other rows, each entry in the table is 13 greater than the entry above it, and the table continues indefinitely. If a vertical column is chosen at random, then the probability of that column containing a perfect square is: Claude Tardif lui répond. 





A block pyramid 
20051105 

Kyle pose la question : if i make a block pyramid and it puts a new perimeter around it every time, for example the first layer will be 1 block across (area=1), the second layer will be 3 blocks across (area=9), the third layer will be 5 blocks across (area=15),etc. The normal block pyramid. I have figured out that in order to figure out the number of blocks needed for a certain level, the equation is (2x1)2 or (2x1)(2x1), where x is equal to the level. For example, on the fourth level, the equation tells you that it will have an area of 49. How would i make an equation for the total number of blocks up to the level. For example, in order to complete 1 level you need 1 block, for 2 levels you need 10 blocks, for three levels you need 35 blocks, and for 4 levels you need 84 blocks. Penny Nom lui répond. 





An odd number of factors 
20051006 

Ramneek pose la question : What is the common name used for numbers that have an odd number of factors? Claude Tardif lui répond. 





1,4,9,1,6,2,5,3,6,4,9,6,4,8,1 
20050830 

Liz pose la question : Find the next four numbers to the sequence 1,4,9,1,6,2,5,3,6,4,9,6,4,8,1,___,___,___,___. Penny Nom lui répond. 





Explain why 3(x+2) = 3x+2 is incorrect 
20050328 

Cynthia pose la question : An algebra student incorrectly used the distributive property and wrote 3(x+2) = 3x+2. How would you explain to him the correct result, without the use of the distributive law?
Explain why the square of the sum of two numbers is different from the sum of the squares of two numbers. Penny Nom lui répond. 





What is the least threedigit palindrome that is a square number? 
20050212 

Ben pose la question : What is the least threedigit palindrome that is a square number? Chris Fisher and Penny Nom lui répond. 





Is a square a rectangle? 
20041121 

Carol pose la question : I am a teacher. In an FCAT sixth grade review test, there was a question to the students to draw a square and then they referred to it as a rectangle.
What is the definition that makes a rectangle a square that can be taught to the students without confusing them. Walter Whiteley lui répond. 





Factoring 
20040719 

A student pose la question : Factor completely:
3x3  24y3
54x6 + 16y3
16xy  4x  4y  1
0.09x2  0.16y2 Penny Nom lui répond. 





3x squared  27 / x + 3 
20040504 

Stef pose la question : 3x squared  27 / x + 3 Penny Nom lui répond. 





Some factoring problems 
20040415 

KJ pose la question : Factor these:
x^{3}+125 > (x+5)^{3}
8x^{3}27 > (?)
x^{2}+36 > (x+6)^{2}
x^{4}5x^{2}+4 > (?) Penny Nom lui répond. 





400, 100 and 2500 
20031221 

A student pose la question : A person likes 400 but dislikes 300
He also likes l00 but dislikes 99
He also likes 2500 but
dislikes 2400
Which of the following does John like
900, 1000, 1100 or 2400
Penny Nom lui répond. 





Difference of squares 
20031124 

Susie pose la question :
Factor assuming that n is a positive #
Problem: (I will give it to you in words beacuse I don't know how to do exponents on the computer.)
Fortyfive r to the 2n power minus five s to the 4n power.
I was hoping you could walk me through it not just give me the answer.
Penny Nom lui répond. 





A least squares line 
20031109 

Michelle pose la question : Hooke's Law asserts that the magnitude of the force required to hold a spring is a linear function of the extension e of the spring. That is, f = e0 + ke where k and e0 are constants depending only on the spring. The following data was collected for a spring; e: 9 , 11 , 12 , 16 , 19 f : 33 , 38 , 43 , 54 , 61 FIND the least square line f= B0 + B1x approximating this data and use it to approximate k. Penny Nom lui répond. 





Squares in a rectangle 
20031021 

Raj pose la question :
Draw a rectangle with sides of 3 and 4. Divide the sides into 3 and 4 equal parts respectively. Draw squares joining the points on the sides of the rectangle. You will have 12 small squares inside the 3 x 4 rectangle. If you draw a diagonal of the rectangle, it will intersect 6 of the the 12 smaller squares. Similarly, if you have a 4 x 10 rectangle, the diagonal would intersect 12 of the 40 squares inside the rectangle. Is there an algebric equation that determines the number of squares that will be intersected by the diagonal of a rectangle? Chris Fisher lui répond. 





Numbers John likes 
20030620 

Steve pose la question : John likes 400 but not 300; he likes 100 but not 99; he likes 2500 but not 2400.
Which does he like? 900 1000 1100 1200 Penny Nom lui répond. 





The square of my age was the same as the year 
20030414 

Pat pose la question : Augustus de Morgan wrote in 1864, "At some point in my life, the square of my age was the same as the year." When was he born? Penny Nom lui répond. 





Can twice a square be a square? 
20030325 

Mike pose la question : The other day it occurred to some students that they could think of no square number which is an integer, which can be divided into two equal square numbers which are intergers, Or put another way, no squared integer when doubled can equal another square integer. For example 5 squared plus 5 squared is 50, but 50 is not a square number. Walter Whiteley and Claude Tardif lui répond. 





Can a square be considered a rectangle? 
20030227 

Carla pose la question :
Can a square be considered a rectangle? (since opposite sides are same length and parallel) Would a regular hexagon or octagon be considered a parallelogram since its opposite sides are parallel? or does a parallelogram HAVE to have only 4 sides? Penny Nom lui répond. 





Factoring 
20021211 

Larry pose la question : Question:
how do u factor trinonmials
EX: X^{ 3} + Y^{ 3}
X^{ 3}  8Y^{ 3}
8X^{ 2}  72
64A^{ 3}  125B^{ 6} Penny Nom lui répond. 





8 squares from 12 sticks 
20021008 

A student pose la question : If you have 12 sticks the same size, how do you make them into 8 squares? Claude Tardif lui répond. 





A square of tiles 
20020830 

Rosa pose la question : How do I go about finding a formula for the number of tiles I would need to add to an arbitrary square to get to the next sized square? Penny Nom lui répond. 





When is 1! + 2! + 3! + ... + x! a square? 
20020819 

Sarathy pose la question : Solve : 1! + 2! + 3! + ... + x! = y^{ 2} How do i find the solutions ? Claude tardif lui répond. 





A sequence 
20020116 

Chris pose la question : I have spent two days trying to determine the pattern to the following set of numbers: 1,4,9,1,6,2,5,3,6,4,9,6,4,8,1,____. I need the next four numbers to the sequence. Claude Tardif lui répond. 





Linear regression 
20020116 

Murray pose la question : If you have a set of coordinates (x[1],y[1]),(x[2],y[2]),...,(x[n],y[n]),find the value of m and b for which SIGMA[from 1 to m=n]AbsoluteValue(y[m]m*x[m]b) is at its absolute minimum. Harley Weston lui répond. 





Magic squares 
20011117 

A student pose la question : 7th grader wanting to find solution to magic square:
place the integers from 5 to +10 in the magic square so that the total of each row, column, and diagonal is 10. The magic square is 4 squares x 4 squares. Penny Nom lui répond. 





Squares of negative numbers 
20011103 

Susana pose la question : I wanted to know if I can square a negative number..? Leeanne Boehm lui répond. 





Some algebra 
20011015 

James pose la question : I cannot figure these out I was wondering if you could help me? I have no one to answer my questions.  (7x^{2} – 3yz)^{2} – (7x^{2} + 3yz)^{2}
 Use Pascal’s triangle to expand (2x – y)^{4}
 8x^{3} y  x^{3} y^{4}
 (m + 3n)^{2} – 144
 12x^{4} y – 16x^{3} y^{2} – 60x^{2} y^{3}
 p^{3} q^{2} – 9p^{3} + 27q^{2} – 243
Peny Nom lui répond. 





Squares of one digit numbers 
20011015 

Needa pose la question : What two twodigit numbers are each equal to their rightmost digit squared? Penny Nom lui répond. 





Pythagoras & magic squares 
20011009 

John pose la question : My grandson became intrigued when he recently 'did' Pythagoras at elementary school. He was particularly interested in the 345 triangle, and the fact that his teacher told him there was also a 51213 triangle, i.e. both rightangled triangles with whole numbers for all three sides. He noticed that the shortest sides in the two triangles were consecutive odd numbers, 3 & 5, and he asked me if other right angled triangles existed, perhaps 'built' on 7, 9, 11 and so on. I didn't know where to start on this, but, after trying all sorts of ideas, we discovered that the centre number in a 3order 'magic square' was 5, i.e. (1+9)/2, and that 4 was 'one less'. Since the centre number in a 5order 'magic square' was 13 and that 12 was 'one less' he reckoned that he should test whether a 7order square would also generate a rightangled triangle for him. He found that 72425, arrived at by the above process, also worked! He tried a few more at random, and they all worked. He then asked me two questions I can't begin to answer ...  Is there a rightangled triangle whose sides are whole numbers for every triangle whose shortest side is a whole odd number? and
 Is each triangle unique (or, as he put it, can you only have one wholenumbersided rightangled triangle for each triangle whose shortest side is an odd number)?
Chris Fisher lui répond. 





Squares of Fibonacci numbers 
20010424 

Vandan pose la question : What discoveries can be made about the sum of squares of Fibonacci's Sequence? Penny Nom lui répond. 





Squares on a chess board 
20010411 

Tom pose la question : It was once claimed that there are 204 squares on an ordinary chessboard (8sq. x 8sq.) Can you justify this claim? "PLEASE" include pictures. How many rectangles are there on an ordinary chessboard? (8sq. x 8sq.) "PLEASE" include pictures. Penny Nom lui répond. 





Difference of Squares 
20010222 

BrunoPierre pose la question : I noticed the other day that if you substract two consecutive squared positive numbers, you end up with the same result as if you add up the two numbers. Ex. 5 and 6 (2 consecutive positive numbers) 5^{2} = 25 6^{2} = 36 36  25 = 11 (Substraction of the squared numbers) 5 + 6 = 11 (Sum of the numbers) A more algebric view: a^{2}  b^{2} = a + b where a and b are consecutive positive positive numbers. (b = a + 1) I wondered if this rule had a name, and who discovered it. Penny Nom lui répond. 





Difference of squares 
20010220 

Janna pose la question : Hi! I was just wondering how you would factor x^{2}  9y^{2}. Harley Weston lui répond. 





Factoring (uv)^{3}+vu 
20001215 

A parent pose la question : I am a middle school teacher and a parent. I am snowed in and trying to help my 9th grader get ready for 9 weeks exams. I have tried to factor this problem to no avail. (uv)^3+vu. I have the answer but I need to know how it is done. Penny Nom lui répond. 





The sum of the cubes is the square of the sum 
20001010 

Otoniel pose la question : Without using mathematical induction, or any other method discovered after 1010 a.d. , prove that the sum of i^{3}, (where i, is the index of summation) from one to, n, is equal to ((n*(n+1))/2)^{2} Penny Nom lui répond. 





n^{3} + 2n^{2} is a square 
20000904 

David Xiao pose la question : determine the smallest positive integers, n , which satisfies the equation n^{3} + 2n^{2} = b where b is the square of an odd integer Harley Weston lui répond. 





The sum of the squares of 13 consecutive positive integers 
20000825 

Wallace pose la question : Prove that it is not possible to have the sum of the squares of 13 consecutive positive integers be a square. Harley Weston lui répond. 





1+4+9+16+...n^2 = n(n+1)(2n+1)/6 
20000601 

Shamus O'Toole pose la question : How do you derive that for the series 1+4+9+16+25.. that S(n)=(n(n+1)(2n+1))/6 Penny Nom lui répond. 





Three factors 
20000221 

A parent pose la question : Question from a parent helping a child, grade 4, with homework. Can a number have three factors? Name three numbers that have three factors. Penny Nom lui répond. 





Factoring ^6 
20000103 

Athena pose la question :
my name is Athena and I have a question on factoring: how would you figure this out: (x^{6}y^{6}) and (x^{6}+y^{6}) Penny Nom lui répond. 





Ben's observation 
19991028 

Emily Nghiem and Ben Rose pose la question : As a teacher at a school called Educere in Houston, I have a ninthgrade student who discovered the following shortcut last year as an eightgrader. What he noticed is that given any two consecutive integers (or n and n+1 for any rational number greater than or equal to 2), the difference between their squares was equal to the sum of the two numbers. . .
Chris Fisher and Penny Nom lui répond. 





An odd number of factors 
19991022 

Melissa pose la question : What is the common name used for numbers that have an odd number of factors? What is the least positive integer that has exactly 13 factors? Penny Nom lui répond. 





A sum of two squares 
19991008 

Marksmen pose la question : what is the smallest whole number that can be written two ways as a sum of two different perfect squares? i.e.11squared plus 3 squared is 121+ 9=130 and7 squared + 9squared=49 +81= 130. Are there any smaller? I am stumped! Claude Tardif lui répond. 





A difference of squares problem. 
19990724 

Michael and Stephanie Bixler pose la question : If you have the equation x= n^{2}  m^{2} (ie 40= 7^{2}3^{2}= 499) x must = a positive number 1) which squared numbers work as n and m 2) how does it work 3) if my teacher gave me the number for x; how could I figure out this problem Harley Weston lui répond. 





Introductory Algebra 
19990519 

Pat pose la question : (2 + sq. root of 3) x (2  sq. root of 3) = 1 Please show me the work. Harley Weston lui répond. 





Factoring 
19990330 

Maggie Stephens pose la question : I don't know anything about factoring would you plese help me. 3x^{4}  48 54x^{6} + 16y^{3} 1258x^{3} 12x^{2}  36x + 27 9  81x^{2} a^{3} + b^{3}c^{3} I would greatly appreciate any help you can give me thanks. Jack LeSage lui répond. 





Factoring 
19990308 

L. Sivad pose la question : Question: m^{2}+6m+9n^{2} Penny Nom lui répond. 





Magic Squares 
19990211 

Katie Powell pose la question : My name is Katie Powell. I'm in the 7th grade, taking Algebra. I live in Houston, Texas. My problem is this: "Use the numbers 19 to fill in the boxes so that you get the same sum when you add vertically, horizontally or diagonally." The boxes are formed like a tictactoe  with 9 boxes  3 rows and 3 columns. Can you help? Jack LeSage lui répond. 





Students and Lockers 
19981002 

Mike pose la question : There is a row of 1000 lockers. There is a line of 1000 students. Student number 1 starts at the first locker and opens all 1000. Student number 2 starts at the second locker and closes every other one. Student number 3 starts at the third locker and goes to every third one, closing the open ones and opening the closed ones. Student number 4 does the same with every fourth locker and so on down the line... After all 1000 students have gone how many lockers are open and which ones are they? Please help! There is proboly a simple solution but we couldnt figure it out for the life of us. Please let us know how you solve it. Patrick Maidorn and Penny Nom lui répond. 





Difference of squares 
19980623 

Kristen Smelsky pose la question : Solve the following using a difference of squares: 4x(squared) minus 4xy plus y(squared) minus m(squared) plus 2m minus 1 Penny Nom lui répond. 





x^2 = ...444 
19980223 

James Bauer pose la question : What is the first interger that when squared ends in three 4's? (ex. x^2 = ...444) Prove that there are no intergers that when squared end in four 4's (ex. x^2 = ...4444) Penny Nom lui répond. 





Why QUADratic? 
19970319 

Paula Miller pose la question : A student today asked me why a quadratic, with highest power of degree 2, was called a QUADratic. We're awaiting the answer with baited breath! :) Chris Fisher and Walter Whiteley lui répond. 

