
已知1/a-1/b=2,求3a+5ab-3b/a-2ab-b的值
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解:
(3a+5ab-3b)/(a-2ab-b)
=[(3a+5ab-3b)×1/(ab)]/[(a-2ab-b)×1/(ab)]
=(3/b+5-3/a)/(1/b-2-1/a)
=[-3(1/a-1/b)+5]/[-(1/a-1/b)-2]
=(-3×2+5)/(-2-2)
=-1/(-4)
=1/4
(3a+5ab-3b)/(a-2ab-b)
=[(3a+5ab-3b)×1/(ab)]/[(a-2ab-b)×1/(ab)]
=(3/b+5-3/a)/(1/b-2-1/a)
=[-3(1/a-1/b)+5]/[-(1/a-1/b)-2]
=(-3×2+5)/(-2-2)
=-1/(-4)
=1/4
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