因式分解:4+ 12(x-y)+9(x-y)(x-y)快

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

因式分解:4+ 12(x-y)+9(x-y)(x-y)快
4+ 12(x-y)+9(x-y)²
=[3(x-y)]²+2×[3(x-y)]×2+2²
=[3(x-y)+2]²
=(3x-3y+2)²

(3x-3y+2)^2

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

将x-y看作整体9(x-y+2/3)^2

把x-y先看做一个数,设x-y=z。所以有9z*z+12z+4=(3z+2)的平方。再把z换
成x-y,即为(3x-3y+2)的平方。所以因式分解(3x-3y+2)(3x-3y+2)。这
样解是不是明了一些呀。