数学分式混合运算:(1/a+1/b)² ÷ (1/a²-1/b²) 怎么算?

问题描述:

数学分式混合运算:(1/a+1/b)² ÷ (1/a²-1/b²) 怎么算?

(1/a+1/b)² ÷ (1/a²-1/b²)
=(1/a+1/b)² ÷ [(1/a-1/b)(1/a+1/b)]
=(1/a+1/b)÷(1/a-1/b)
=(a+b)/ab ×ab/(b-a)
=(a+b)/(b-a)