Question

Factor: x^3+64

Answer 1

can someone please help me though??

Answer 2

In general, when factoring the sum of two cubes, use the following formula:

\[x^3 + y^3 = (x + y)(x^2 - xy + y^2)\]

Answer 3

so the answer is \[(x+4)(x ^{2}+4x+16)\] ?

Answer 4

what if it said factor: \[x ^{3}-125\]? then what do I do?

Answer 5

You factored it, however, you made a slight mistake. 4x should be negative, not positive.

As for the difference of cubes, the general formula is
\[(x-y)(x^2+xy+y^2)\]