Question

Please HELP! Factor this expression completely. x^3 + 1/8

Answer 1

Use the formula
\[
a^3+b^3=(a+b) \left(a^2-a
b+b^2\right)
\]

Answer 2

a=x
b=1/2

Answer 3

Im not sure

Answer 4

http://www.wolframalpha.com/input/?i=factor+x^3+%2B+1%2F8

Answer 5

Hint: Look up "special products and factoring" in your textbook or online.
Note that x^3 - 1/8 can be written as \[x^3+(1/2)^3.\] which has the same form as the (a^3+b^3) mentioned by eliassaab.

Answer 6

so would it be (x + 1/2) ( x^2- x1/2 + 1/2^2) ??

Answer 7

Yes

Answer 8

\[
\left(x+\frac{1}{2}\right)
\left(x^2-\frac{x}{2}+\frac
{1}{4}\right)
\]

Answer 9

Nice work, Power2Knowledge!!

Answer 10

thanks