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a²+b²/a²-b²-a-b/2a+2b

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/17 03:10:18
a²+b²/a²-b²-a-b/2a+2b
a²+b²/a²-b²-a-b/2a+2b
=(a²+b²)/(a²-b²)-(a-b)/2(a+b)
=(a²+b²)/(a+b)(a-b)-(a-b)/2(a+b)
=[2(a²+b²)-(a-b)(a-b)]/2(a+b)(a-b)
=(2a²+2b²-a²+2ab-b²)/2(a+b)(a-b)
=(a²+2ab+b²)/2(a+b)(a-b)
=(a+b)²/2(a+b)(a-b)
=(a+b)/2(a-b)