【4ab/(a-b)+(a/b-b/a)÷(1/a+1/b)】÷(a²+2ab+b²)化简

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 11:04:18
【4ab/(a-b)+(a/b-b/a)÷(1/a+1/b)】÷(a²+2ab+b²)化简

【4ab/(a-b)+(a/b-b/a)÷(1/a+1/b)】÷(a²+2ab+b²)化简
【4ab/(a-b)+(a/b-b/a)÷(1/a+1/b)】÷(a²+2ab+b²)化简

【4ab/(a-b)+(a/b-b/a)÷(1/a+1/b)】÷(a²+2ab+b²)化简
【4ab/(a-b)+(a/b-b/a)÷(1/a+1/b)】÷(a²+2ab+b²)
=【4ab/(a-b)+(a-b)(a+b)/(ab)÷(a+b)/(ab)】÷(a+b)²
=[4ab/(a-b) +(a-b)]/(a+b)²
=[(4ab+(a-b)²)/(a-b)]/(a+b)²
=[(a+b)²/(a-b)]/(a+b)²
=1/(a-b)

结果是1/(a-b) 只要简单的通分就可以