已知1/a-1/b=3,求2a+3ab-2b/a-2ab-b的值

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已知1/a-1/b=3,求2a+3ab-2b/a-2ab-b的值
已知1/a-1/b=3,求2a+3ab-2b/a-2ab-b的值

已知1/a-1/b=3,求2a+3ab-2b/a-2ab-b的值
1/a-1/b=3
(b-a)/(ab)=3
a-b=-3ab
(2a+3ab-2b)/(a-2ab-b)
=[2(a-b)+3ab]/[(a-b)-2ab]
=(-6ab+3ab)/(-3ab-2ab)
=(-6+3)/(-3-2)
=(-3)/(-5)
=3/5

(b-a)/(ab)=3
a-b=-3ab
(2a+3ab-2b)/(a-2ab-b)
=[2(a-b)+3ab]/[(a-b)-2ab]
=(-6ab+3ab)/(-3ab-2ab)
=(-6+3)/(-3-2)
=(-3)/(-5)
=3/5