Question

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

Answer 1

`(x-5)(x^2+5x+25)`

Explanation:

Remember the general factoring
`color(white)("XXX")a^3-b^3=(a-b)(a^2+ab+b^2)`

Since
`color(white)("XXX")x^3-125 = x^3-5^3`
it can be factored as
`color(white)("XXX")(x-5)(x^2+5x+25)`