怎么因式分解(x-2y)^2-(x+2y)^2+2x^2+8y^2

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怎么因式分解(x-2y)^2-(x+2y)^2+2x^2+8y^2
怎么因式分解(x-2y)^2-(x+2y)^2+2x^2+8y^2

怎么因式分解(x-2y)^2-(x+2y)^2+2x^2+8y^2
(x-2y)^2-(x+2y)^2+2x^2+8y^2
=x^2-4xy+4y^2-x^2-4xy-4y^2+2x^2+8y^2
=2x^2-8xy+8y^2
=2(x^2-4xy+4y^2)
=2(x-2y)²