分式加减计算a²+3/a²-1 -a+1/a-1 +1
来源:学生作业帮助网 编辑:作业帮 时间:2024/05/30 20:59:56
分式加减计算a²+3/a²-1 -a+1/a-1 +1
原式=(a²+3)/(a+1)(a-1)-(a+1)²/(a+1)(a-1)+(a+1)(a-1)/(a+1)(a-1)
=(a²+3-a²-2a-1+a²-1)/(a+1)(a-1)
=(a²-2a+1)/(a+1)(a-1)
=(a-1)²/(a+1)(a-1)
=(a-1)/(a+1)
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来源:学生作业帮助网 编辑:作业帮 时间:2024/05/30 20:59:56
分式加减计算a²+3/a²-1 -a+1/a-1 +1
原式=(a²+3)/(a+1)(a-1)-(a+1)²/(a+1)(a-1)+(a+1)(a-1)/(a+1)(a-1)
=(a²+3-a²-2a-1+a²-1)/(a+1)(a-1)
=(a²-2a+1)/(a+1)(a-1)
=(a-1)²/(a+1)(a-1)
=(a-1)/(a+1)