SOLUTION: I have been working on this problem for quite a wile but I cant seem to figure it out... 2a-1/2a-3 - 2a^2-5a+4/8a^2-22a+15 - 3a-2/4a-5 I know that I have to find the common d

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I have been working on this problem for quite a wile but I cant seem to figure it out... 2a-1/2a-3 - 2a^2-5a+4/8a^2-22a+15 - 3a-2/4a-5 I know that I have to find the common d      Log On


   

Question 454441: I have been working on this problem for quite a wile but I cant seem to figure it out...
2a-1/2a-3 - 2a^2-5a+4/8a^2-22a+15 - 3a-2/4a-5
I know that I have to find the common denominator but i kind of get confused... Help! Thanks!! Also, can you please explain? :)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!

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The middle denominator will factor to

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Obvious that the common denominator will be (2a-3)(4a-5), therefore we have

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FOIL

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Remove brackets, a neg changes the signs
%288a%5E2-14a%2B5-2a%5E2%2B5a-4-6a%5E2%2B13a-6%29%2F%28%282a-4%29%284a-5%29%29
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Combine like terms, that gets rid of most of it, then (4a-5)'s cancel leaving:
%288a%5E2-2a%5E2-6a%5E2-14a%2B5a%2B13a%2B5-4-6%29%2F%28%282a-4%29%284a-5%29%29 = %284a-5%29%2F%28%282a-4%29%284a-5%29%29 = 1%2F%282a-4%29