How do you expand (x-y)^4(xy)4?

1 Answer
Nov 9, 2016

(x-y)(x-y)(x-y)(x-y)(xy)(xy)(xy)(xy)

Explanation:

(x-y)^2 = (x-y)(x-y)(xy)2=(xy)(xy)

The rule applies to higher powers as well so

(x-y)^3 = (x-y)(x-y)(x-y)(xy)3=(xy)(xy)(xy) and

(x-y)^4 = (x-y)(x-y)(x-y)(x-y)(xy)4=(xy)(xy)(xy)(xy)