先化简再求值(a/a+b-b/b-a-2ab/a^2-b^2)÷(1/a-1/b)并且a+b=3,ab=2(要过程)!
问题描述:
先化简再求值(a/a+b-b/b-a-2ab/a^2-b^2)÷(1/a-1/b)并且a+b=3,ab=2(要过程)!
答
a=1,b=2代入
先简化(a/a+b-b/b-a-2ab/a^2-b^2)÷(1/a-1/b),代入即可
(a/a+b - b/b-a - 2ab/a^2-b^2)÷(1/a-1/b)
=[a*(a-b)+b*(a+b)-2ab)]/[(a+b)(a-b)]*(ab)/(b-a)
=(a-b)/(a+b)*(ab)/(b-a)
=-ab/(a+b)