# How do you factor #8a^3+27(x+y)^3#?

##### 2 Answers

The answer is:

If you write:

This is a sum of two cubic, and you can use this rule:

So:

Temporarily simplify be replacing

and

So

becomes

which has factors

Restoring the original values, this becomes

It might be tempting to attempt to further factor the right-most term but a quick check using the formula for roots

[be careful not to confuse the