Question

How do you factor `125x^3+1/125`?

Answer 1

`125x^3+1/125=(5x+1/5)(25x^2-x+1/25)`.

Explanation:

Recall that, `a^3+b^3=(a+b)(a^2-ab+b^2)`.

With `a=5x, and, b=1/5`, we get,

`125x^3+1/125=(5x+1/5)(25x^2-x+1/25)`.