分解因式a²(x-y)²-b²(y-x)²

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分解因式a²(x-y)²-b²(y-x)²

原式=a²(x-y)²-b²(x-y)²
=(x-y)²(a²-b²)
=(x-y)²(a+b)(a-b)

a²(x-y)²-b²(y-x)²
=a²(x-y)²-b²(x-y)²
=(x-y)²(a²-b²)
=(x-y)²(a+b)(a-b)