







A limit 
20150219 

genc pose la question : Lim (27x^31) / (3x1)
X> 1/3 Harley Weston lui répond. 





A difference quotient 
20150112 

Sasha pose la question : Simplify the difference quotient
f(x) − f(a)/ xa
if x ≠ a.
f(x) = x^3 − 12
Penny Nom lui répond. 





Five cubes 
20140115 

Bob pose la question : Rick has five cubes. When he arranges them from smallest to largest, the difference between the heights of any two neighbouring cubes is 2 cm. The largest cube is as high as a tower built from the two smallest cubes. How high is a tower built from all five cubes? 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. 





a cubeb cubea+b= ? 
20130616 

saryu pose la question : a cubeb cubea+b= ?
find the answer Penny Nom lui répond. 





Two cubes 
20120904 

alexis pose la question : a cube has one face that is equal to the total surface area of another cube. Find the ratio of their volumes Penny Nom lui répond. 





Three metallic cubes 
20120513 

Pragun pose la question : Three metallic cubes whose edges are in the ratio 3:4:5 are melt to form a single cube whose diagonal is 12*square root of 3. What are lengths of the edges(in cm) of the three cubes Penny Nom lui répond. 





A pattern is built with cubes. 
20110208 

e pose la question : A pattern is built with cubes.
The first item is 1 cube.
The second item is a block of 8 cubes.
The third item is a block of 27 cubes.
If the pattern is continued, how many cubes are needed for the fourth and fifth? Penny Nom lui répond. 





Difference of cubes 
20100522 

Anad pose la question : how can we prove a^3  b^3 is equal to (ab)(a^2+ab+b^2)? Penny Nom lui répond. 





1^3 + 2^3 + 3^3 +4^3 ... n^3 = ? 
20100129 

ireimaima pose la question : Hi..
Can u please help me with this question..
I find that when i test eg: n=2 for n (n+1) /4,
it seems that it does not giving me the right answer of 1^3 + 2^3 = 9
but 3/2... i'm confuse..can u please help me..thanks so much
Prove that:
1^3 + 2^3 + 3^3 +4^3………………………………..n^3 = n (n+1) /4 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. 





A difference quotient 
20090617 

Sue pose la question : When s(x)=x^3+x, compute and simplify the difference quotient s(x+h)s(x)/h. Harley Weston 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. 





A cubic equation 
20080825 

RAM pose la question : The following Cubic Eqn should have three roots  what are they?
x^327=0 Penny Nom lui répond. 





Sum and difference of cubes 
20080130 

Amanda pose la question : It has been a really long time since I was in Algebra and I can't remember how to factor cubes such as x^3 +81 or subtracting/adding fractions with variables such as [1/(x+h)+2][1/x+2]. Please help!!! Penny Nom lui répond. 





Explaining the factoring for the difference of cubes 
20080116 

Bill pose la question : A student asked me where did the "difference of cubes" and "sum of cubes" come from. I did not have an answer for her. She is very bright and understands how they work but wanted to know where they derived from. Any help you can offer would be great. Thanks Stephen La Rocque lui répond. 





How many cubes have one face painted red? 
20071127 

Ashutosh pose la question : A rectangular block measuring 10 units by 8 units by 6 units is made up of cubes measuring 1 unit on a side. The base of the block is 10 units by 8 units. The outside of the block other than the base is painted red. How many of the unit cubes have exactly one face painted red? Stephen La Rocque and Penny Nom lui répond. 





Cubes 
20070921 

Yvonne pose la question : The numbers 756 and 72, expressed as products of prime factors, are 756 = 2² x 3³ x 7 and 72 = 2³ x 3²
Use these result to find,
the smallest integer, x, such that 756x is a perfect cube. Penny Nom 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. 





A trillion sugar cubes 
20061110 

Leeza pose la question : How many dump trucks (I believe the standard bed size is 16'L x 8'W x 4'D) would it take to hold one trillion sugar cubes (which I believe are approximately 2cm in L, W and D)? Penny Nom lui répond. 





(a^(1/3) – b^(1/3)) ( a^(2/3) + a^(1/3)b^(1/3) + b^(2/3)) 
20061024 

Julie pose la question : (a^{1/3} – b^{1/3}) ( a^{2/3} + a^{1/3}b^{1/3} + b^{2/3}) Haley Ess lui répond. 





How many of these cubes have no wax of them? 
20060310 

Iban pose la question : cube cheese is 4cm wide, 4cm long, 4cm high. three faces of the cube meet in the corner covers thin layers of wax. The cheese is then cut two, then cut 64 small cubes, which is the length 1cm.
How many of these cubes have no wax of them? Stephen La Rocque lui répond. 





Factor 
20060308 

Brad pose la question : Factor:
x^{3} + 64m^{3} and 125p^{3}  q^{6} Penny Nom lui répond. 





3x^4  81 
20060102 

Julio pose la question : How can I factor the following?:
3x^{4}  81 Penny Nom lui répond. 





"a" cubed minus "b" cubed 
20041202 

Denise pose la question : "a"cubed minus "b"cubed equal (ab) times
("a"squared plus "ab" plus "b"squared)?
I know this is a formula, but why is it true? Penny lui répond. 





Slicing cubes 
20041123 

Anthony pose la question : You are working with a power saw and wish to cut a wooden cube 3inches on aside into 27 1inch cubes. You can do this by making six cuts through the cube keeping the pieces together in the cube shape. Can you reduce the number of necessary cuts by rearranging the pieces after each cut? Chris Fisher 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. 





Factoring 
20040427 

Bipin pose la question : FACTORISE:
a to the power of 6 + b to the power of 6 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. 





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. 





Factor completely 
20021121 

Shelley pose la question : these two questions are to be factored completely but i have no idea how to factor them  (x4y)^{ 2}  3(x4y)  4
 x^{ 6} + y^{ 6}
Penny Nom lui répond. 





Two cubes 
20020712 

Vanessa pose la question : The edges of a cube are 50% as long as the edges of another cube. What percent of the volume of the larger cube is the volume of the smaller cube? Peny Nom lui répond. 





24x^4 + 3x 
20020318 

gary pose la question : 24x^{ 4} + 3x Penny Nom lui répond. 





The number of hidden cubes 
20020205 

Katie pose la question : This problem is about finding the number of cubes visible and hidden in a cube.
In a cube that is 3x3, 19 cubes can be seen. 8 are hidden. In a cube that is 4x4, 37 cubes can be seen. 27 are hidden. In a cube that is 5x5, 61 cubes can be seen. 64 are hidden. In a cube that is 6x6, 91 cubes can be seen. 125 are hidden. The question is: Explain how you could find the number of small cubes that are visible and hidden in a cube of any size. Paul Betts and Penny Nom 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. 





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. 





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. 





towers of cubes 
19991005 

Sanker pose la question : I need help to solve this Rules for bulding towers of cubes rule 1  The number of cubes on the bottom layer is always one less than the number of squares on the grid  rule 2  Each new layer is made with one cube less than the layer underneath it.   Investigate how many different arrangements there are of 4 cubes on top of 5 cubes on a two by three grid
 investigate the number of different arrangements of six cubes on top of seven cubes on a two by four grid
 investigate the relation between the number of arrangements of cubes and the size of the grid
 when there are two layers of cubes
 when there are more than two layers of cubes
Walter Whiteley lui répond. 





The sum of the cubes is the square of the sum 
19990825 

Bernard Yuen pose la question : How to prove 1^{3} + 2^{3} + 3^{3} + 4^{3} + ... n^{3} is equal to (1+2+3+...n)^{2}? (for n is positive integer) 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. 





Patterns 
19990107 

Melis Kalay pose la question : I'm confused about questions like these: 1. 2by2by2 cube: If this cube was painted blue on the outside,  how many cubes would have 3 blue faces
 2 blue faces
 1 blue face
 0 blue faces
Jack LeSage and Penny Nom lui répond. 

