(x+y)²+4(x-y)²-4(x²-y²)因式分解

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(x+y)²+4(x-y)²-4(x²-y²)因式分解(x+y)²+4(x-y)²-4(x²-y²)因式分解(x+y)&

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

(x+y)²+4(x-y)²-4(x²-y²)因式分解
(x+y)^2+4(x-y)^2-4(x^2-y^2)
=(x+y)^2+4(x-y)^2-4(x-y)(x+y)
=【(x+y)-2(x-y)】^ 2
=(x+y-2x+2y)^ 2
=(3y-x)^ 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
=(x+y-2x+2y)^2
=(3y-x)^2