问题 解答题

把下列各式因式分

(1)-a2-1+2a=______;

(2)2x2y-x3-xy2=______;

(3)(x2+1)2-4x2=______;

(4)(x+y)2-2(x2-y2)+(x-y)2=______.

答案

(1)原式=-(a-1)2

(2)原式=-x(x-y)2

(3)原式=(x+1)2(x-1)2

(4)原式=(x+y-x+y)2=4y2

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