因式分解 (x-1)(x-2)-2(2-x)的平方

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因式分解 (x-1)(x-2)-2(2-x)的平方
因式分解 (x-1)(x-2)-2(2-x)的平方

因式分解 (x-1)(x-2)-2(2-x)的平方
(x-1)(x-2)-2(2-x)^2
= (x-1)(x-2)-2(x-2)^2
= (x-2) { (x-1) - 2(x-2) }
= (x-2) { x-1 - 2x+4 }
= (x-2)(-x+3)
= - (x-2)(x-3)

(x-1)(x-2)-2(2-x)²
=(x-2)(x-1-2x+4)
=(x-2)(3-x)

(x-1)(x-2)-2(2-x)^2
=(x-1)(x-2)-2(x-2)^2
=(x-2)[x-1-2(x-2)]
=(x-2)(x-1-2x+4)
=(x-2)(3-x)

(x-1)(x-2)-2(2-x)²
=(x-1)(x-2)-2(x-2)²
=(x-2)(x-1-2x+4)
=(x-2)(3-x)
解题关键(2-x)²=(x-2)²

解:(x-1)(x-2)-2(x-2)²=(x-2)[(x-1)-2(x-2)]=(x-2)(3-x)

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