（x²+y²）²-4x²y²

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（x²+y²）²-4x²y²（x²+y²）²-4x²y²（x²+y²）²

（x²+y²）²-4x²y²
（x²+y²）²-4x²y²

（x²+y²）²-4x²y²
(x²+y²)²-4x²y²
=(x²+y²)²-(2xy)²
=[(x²+y²)+2xy][(x²+y²)-2xy]
=(x²+2xy+y²)(x²-2xy+y²)
=(x+y)²(x-y)²

（x²+y²）²-4x²y²
=（x²+y²）²-（2xy)²
=（x²+y²-2xy)(x²+y²+2xy)
=(x-y)²（x+y)²
=（x-y)(x-y)(x+y)(x+y)
祝你开心

原式=(x^2+y^2+2xy)(x^2+y^2-2xy)=(x+y)^2(x-y)^2