因式分解:a²(x-y)²-2a(y-x)³+(x-y)^4

问题描述:

因式分解:a²(x-y)²-2a(y-x)³+(x-y)^4

a²(x-y)²-2a(y-x)³+(x-y)^4
=(x-y)²[a²+2a(x-y)+(x-y)²]
=(x-y)²(a+x-y)²