因式分解:4-12(x-y)+9(x-y)²

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因式分解:4-12(x-y)+9(x-y)²因式分解:4-12(x-y)+9(x-y)²因式分解:4-12(x-y)+9(x-y)²解4-12(x-y)+9(x-y)&#

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

因式分解:4-12(x-y)+9(x-y)²

4-12(x-y)+9(x-y)²
=2²-2×2×3(x-y)+[3(x-y)]²——完全平方,将x-y看成一个整体
=[3(x-y)-2]²
=(3x-3y-2)²

4-12(x-y)+9(x-y)²
=[2-3(x-y)]²