(x^2-x)^2-8(x^2-x)+12 分解因式

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(x^2-x)^2-8(x^2-x)+12 分解因式
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(x^2-x)^2-8(x^2-x)+12 分解因式
(x^2-x)^2-8(x^2-x)+12 分解因式

(x^2-x)^2-8(x^2-x)+12 分解因式

(x²-x)²-8(x²-x)+12——将x²-x看成一个整体
=[(x²-x)-6][(x²-x)-2]
=(x²-x-6)(x²-x-2)
=(x-3)(x+2)(x-2)(x+1)

(x^2-x)^2-8(x^2-x)+12
=(x²-x-2)(x²-x-6)
=(x+1)(x-2)(x+2)(x-3)

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