Question

How do you factor `8x^3 - y^3`?

Answer 1

`8x^3-y^3=color(blue)((2x-y)(4x^2+2xy+y^2)`

Explanation:

In general the difference of cubes can be factored as:
`color(white)("XXX")a^3-b^3=(a-b)(a^2+ab+b^2)`

For the given example: `a^3=8x^3=(2x)^3` and `b^3=y^3`