因式分解:(a²-1)(b²-1)+4ab.快点啊!在线等!快点啊!
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 01:02:58
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因式分解:(a²-1)(b²-1)+4ab.快点啊!在线等!快点啊!
因式分解:(a²-1)(b²-1)+4ab.
快点啊!在线等!快点啊!
因式分解:(a²-1)(b²-1)+4ab.快点啊!在线等!快点啊!
原式=a²b²-a²-b²+1+4ab
=(a²b²+2ab+1)-(a²-2ab+b²)
=(ab+1)²-(a-b)²
=[(ab+1)+(a-b)][(ab+1)-(a-b)]
=(ab+1+a-b)(ab+1-a+b)