a分之1 减 b分之1 = 3,求分式(a-ab-b)分之(2a+3ab-2b)的值.

问题描述:

a分之1 减 b分之1 = 3,求分式(a-ab-b)分之(2a+3ab-2b)的值.

∵ 1/a-1/b=3
∴ b-a=3ab
a-ab-b=a-b-ab
=-3ab-ab
=-4ab
2a+3ab-2b=2(a-b)+3ab
=2×(-3ab)+3ab
=-3ab
∴原式=-4ab/(-3ab)
= 4/3