因式分解(z2-x2-y2)2-4x2y2,用初二知识解答

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因式分解(z2-x2-y2)2-4x2y2,用初二知识解答
因式分解(z2-x2-y2)2-4x2y2,用初二知识解答

因式分解(z2-x2-y2)2-4x2y2,用初二知识解答
(z²-x²-y²)²-(2xy)²
=(z²-x²-y²+2xy)(z²-x²-y²-2xy)
=【z²-(x²+y²-2xy)】【z²-(x²+y²+2xy)】
=【z²-(x-y)²】【z²-(x+y)²】
=(z+x-y)(z-x+y)(z+x+y)(z-x-y)