(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+2xy)(x²+y²-2xy)
=(x+y)²(x-y)²