若x+y=10,xy=15,求(x^2-y^2)^2的值?

问题描述:

若x+y=10,xy=15,求(x^2-y^2)^2的值?

(x+y)^2=100
(x-y)^2=(x+y)^2-4xy=100-60=40
(x^2-y^2)^2
=(x-y)^2*(x+y)^2
=40*100
=4000