# How do you factor #(x+y)^3 - 9(x^9 - y^9) #?

##### 1 Answer

Aug 9, 2016

#### Explanation:

First, we will simplify

Thus:

#=(x+y)^3-9((x^3)^3-(y^3)^3)#

#=(x+y)^3-9(x^3-y^3)(x^6+x^3y^3+y^6)#

Now

#=(x+y)^3-9(x-y)(x^2+xy+y^2)(x^6+x^3y^3+y^6)#

This is really the furthest this can be factored.