问题 选择题

下列分解因式中:①a2b2-2ab+1=(ab-1)2;②x2-y2=(x+y)(x-y);③-x2+4y2=(2y+x)(2y-x);④-x2+2xy-y2=-(x+y)2,其中正确的有(  )

A.1个

B.2个

C.3个

D.4个

答案

①a2b2-2ab+1=(ab-1)2,正确;

②x2-y2=(x+y)(x-y),正确;

③-x2+4y2=(2y+x)(2y-x),正确;

④-x2+2xy-y2=-(x+y)2,错误,应改为-x2+2xy-y2=-(x-y)2

故选C.

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