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.