因式分解(1+2xy)^2-(x^2+y^2)^2

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因式分解(1+2xy)^2-(x^2+y^2)^2
因式分解(1+2xy)^2-(x^2+y^2)^2

因式分解(1+2xy)^2-(x^2+y^2)^2
(1+2xy)^2-(x^2+y^2)^2
=(1+2xy-x^2-y^2)(1+2xy+x^2+y^2)

(1+2xy)^2-(x^2+y^2)^2
=[(x+2xy)+(x²+y²)][(x+2xy)-(x²+y²)]
=(x+2xy+x²+y²)(x+2xy-x²-y²)

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