因式分解: x^2-y^2-4x+4 (x+y)^2+4(x-y)^2-4(x^2-y^2)

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因式分解: x^2-y^2-4x+4 (x+y)^2+4(x-y)^2-4(x^2-y^2)
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因式分解: x^2-y^2-4x+4 (x+y)^2+4(x-y)^2-4(x^2-y^2)
因式分解: x^2-y^2-4x+4 (x+y)^2+4(x-y)^2-4(x^2-y^2)

因式分解: x^2-y^2-4x+4 (x+y)^2+4(x-y)^2-4(x^2-y^2)
x^2-y^2-4x+4
=(x-2)^2-y^2
=(x+y-2)(x-y-2)
(x+y)^2+4(x-y)^2-4(x^2-y^2)
=(x+y)^2-4(x+y)(x-y)+4(x-y)^2
=[(x+y)-2(x-y)]^2
=(3y-x)^2