先化简再求值(a^2-b^2/a^2)×(ab/a^2-2ab+b^2)÷(1/ab-a^2)a=1/2,b=-2/3
问题描述:
先化简再求值(a^2-b^2/a^2)×(ab/a^2-2ab+b^2)÷(1/ab-a^2)
a=1/2,b=-2/3
答
(a^2-b^2/a^2)×(ab/a^2-2ab+b^2)÷(1/ab-a^2)
=(a-b)(a+b)/a²×ab/(a-b)²×a(b-a)
=-ab-b²
=-1/2×(-2/3)-(-2/3)²
=1/3-4/9
=3/9-4/9
=-1/9