问题 解答题

因式分

(1)2x2+2x

(2)a3-a

(3)(x-y)2-4(x-y)+4

(4)x2+2xy+y2-9.

答案

(1)2x2+2x=2x(x+1)

(2)a3-a=a(a2-1)=a(a+1)(a-1)

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

(4)x2+2xy+y2-9=(x2+2xy+y2)-32=(x+y)2-32=(x+y+3)(x+y-3)

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