因式分解(x2+1)y2-x2-1

分类: 作业答案 • 2022-07-23 00:06:58

问题描述：

因式分解(x2+1)y2-x2-1

答

(x2+1)(y-1)(y+1)

答

(2x+1)2y-2x-1
=4xy+2y-2x-1
=4xy-2x+2y-1
=2x(2y-1)+(2y-1)
=(2x+1)(2y-1)

答

(x2+1)y2-x2-1
=x2y2+y2-x2-1
=(x2y2-x2)+(y2-1)
=x2(y2-1)+(y2-1)
=(x2-1)(y2-1)
=(x+1)(x-1)(y+1)(y-1)

答

(X2+1)(Y2-1)