因式分解：9(x-y)^2+12(x^2-y^2)+4(x+y)^2

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因式分解：9(x-y)^2+12(x^2-y^2)+4(x+y)^2
因式分解：9(x-y)^2+12(x^2-y^2)+4(x+y)^2

因式分解：9(x-y)^2+12(x^2-y^2)+4(x+y)^2
9(x-y)^2+12(x^2-y^2)+4(x+y)^2
=[3(x-y)]^2+2*3(x-y)*2(x+y)+[2(x+y)]^2
=[3(x-y)+2(x+y)]^2
=(5x-y)^2

9(x-y)^2+12(x^2-y^2)+4(x+y)^2
=9(x-y)^2+12(x+y)(x-y)+4(x+y)^2
=[3(x-y)+2(x+y)]²
=(3x-3y+2x+2y)²
=(5x-y)²

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