因式分解:a²(x-y)²-2a(y-x)³+(x-y)^4

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因式分解:a²(x-y)²-2a(y-x)³+(x-y)^4
因式分解:a²(x-y)²-2a(y-x)³+(x-y)^4

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