已知x-y=-2,求(x²+y²)²-4xy(x²+y²)+4x²y²

已知x-y=-2,求(x²+y²)²-4xy(x²+y²)+4x²y²
已知x-y=-2,求(x²+y²)²-4xy(x²+y²)+4x²y²

已知x-y=-2,求(x²+y²)²-4xy(x²+y²)+4x²y²
(x²+y²)²-4xy(x²+y²)+4x²y²
=(x²+y²-2xy)²
=((x-y)²)²
=(x-y)^4
=(-2)^4
=16;
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(x²+y²)²-4xy(x²+y²)+4x²y²
＝（x²+y²-2xy)²
=(x-y)^4
=(-2)^4
=16