因式分解 a²b²-a²-b²+1
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/26 12:29:23
因式分解 a²b²-a²-b²+1
![因式分解 a²b²-a²-b²+1](/uploads/image/z/10021351-31-1.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3+a%26%23178%3Bb%26%23178%3B-a%26%23178%3B-b%26%23178%3B%2B1)
a²b²-a²-b²+1
=(a²b²-b²)-(a²-1)
=b²(a²-1)-(a²-1)
=(a²-1)(b²-1)
=(a+1)(a-1)(b+1)(b-1)
如果本题有什么不明白可以追问,
=(a²b²-b²)-(a²-1)
=b²(a²-1)-(a²-1)
=(a²-1)(b²-1)
=(a+1)(a-1)(b+1)(b-1)
如果本题有什么不明白可以追问,