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).
答
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.