题目内容
把下列各式分解因式:
(1)(x+y)2+2(x+y)+1;
(2)x2(x-y)+(y-x).
(1)(x+y)2+2(x+y)+1;
(2)x2(x-y)+(y-x).
(1)(x+y)2+2(x+y)+1=(x+y+1)2;
(2)x2(x-y)+(y-x)
=x2(x-y)-(x-y)
=(x-y)(x2-1)
=(x-y)(x+1)(x-1).
(2)x2(x-y)+(y-x)
=x2(x-y)-(x-y)
=(x-y)(x2-1)
=(x-y)(x+1)(x-1).
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