因式分解:x2(y2-1)+2x(y2-1)+(y2-1).

问题描述:

因式分解:x2(y2-1)+2x(y2-1)+(y2-1).

x2(y2-1)+2x(y2-1)+(y2-1),
=(y2-1)(x2+2x+1),
=(y2-1)(x+1)2
=(y+1)(y-1)(x+1)2