【4ab/(a-b)+(a/b-b/a)÷(1/a+1/b)】÷(a²+2ab+b²)化简
问题描述:
【4ab/(a-b)+(a/b-b/a)÷(1/a+1/b)】÷(a²+2ab+b²)化简
答
【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)