Question

How do you write `8x^3+27` in factored form?

Answer 1

It is `(2x)^3+3^3=(2x+3)*(4x^2-6x+9)`

Explanation:

We use the following identity

`a^3+b^3=(a+b)(a^2-ab+b^2)`

where `a=2x` and `b=3`

hence we have that

`(2x)^3+3^3=(2x+3)*(4x^2-6x+9)`