因式分解 (x²+y²)²-4x²y²

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因式分解 (x²+y²)²-4x²y²
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因式分解 (x²+y²)²-4x²y²
因式分解 (x²+y²)²-4x²y²

因式分解 (x²+y²)²-4x²y²
(x²+y²)²-4x²y²
=(x²+y²)²-(2xy)²
=(x²+y²+2xy)(x²+y²-2xy)
=(x+y)²(x-y)²

(x²+y²)²-4x²y²
=﹙x²+y²-2xy﹚²
=﹙x-y﹚^4

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

(x-y)^2(x+y)^2