因式分解a²b²-a²-b²+1

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/11 04:03:01
因式分解a²b²-a²-b²+1

因式分解a²b²-a²-b²+1
因式分解a²b²-a²-b²+1

因式分解a²b²-a²-b²+1
a²b²-a²-b²+1
=a^2(b^2-1)-(b^2-1)
=(b^2-1)(a^2-1)
=(b+1)(b-1)(a+1)(a-1)
=(a+1)(a-1)(b+1)(b-1)

原式= a²(b²-1)-(b²-1)
=(b²-1)(a²-1)
=(b+1)(b-1)(a+1)(a-1)

原式=a²(b²-1)-(b²-1)
=(a²-1)(b²-1)
=(a+1)(a-1)(b+1)(b-1)
祝您愉快

=a²(b²-1)-(b²-1)
=(a²-1)(b²-1)
=(a+1)(a-1)(b+1)(b-1)

= a²(b²-1)-(b²-1)=(b²-1)(a²-1)=(b+1)(b-1)(a+1)(a-1)