Posted by **Trisan** on Monday, October 19, 2009 at 12:23am.

Simplify:

(a-b)/(a^-1-b^-1)

- Algebra 2 URGENT -
**Gemini**, Monday, October 19, 2009 at 7:17am
here is my take:

you know that x^-1 = 1/x

so in the denominator you have

(a^-1) - (b^-1) = 1/a - 1/b

you need to have the same denominator, which you get by multiplying both in the numerator and denominatorby the other fraction's denominatior

so you get:

(b/ab)- (a/ab) = (b-a/ ab)

the whole expression looks as this:

(a-b)/[b-a/ab] <=> ab(a-b)/(b-a)

multiplying inside the bracket you get:

[(a^2)b - a(b^2)] / (b-a)

hope this helps...otherwise some other genious may help u :-D ..goodluck.

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