Question

How do you factor `64x^3-125`?

Answer 1

It is

`64x^3-125=(4x)^3-5^3=(4 x-5) (16 x^2+20 x+25)`

Footnote

We used the identity

`a^3-b^3=(a-b)(a^2+ab+b^2)` where `a=4x` and `b=5`