问题 解答题

计算与分解因式:

(1)计算:(x-2)(x+2)-(x-1)2

(2)因式分a(x-y)-b(y-x)+c(x-y)

答案

(1)原式=x2-4-(x2-2x+1)=2x-5;

(2)原式=a(x-y)+b(x-y)+c(x-y)

=(x-y)(a+b+c).

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