SOLUTION: what are the steps to solving a problem like this: (x+5)/(x+1)+(5)/(x-2)

Question 492504: what are the steps to solving a problem like this: (x+5)/(x+1)+(5)/(x-2)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
what are the steps to solving a problem like this:
(x+5)/(x+1)+(5)/(x-2)
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Least common denominator: (x+1)(x-2)
---
Rewrite each fraction with the lcd as its denominator:
= [(x+5)(x-2)/lcd] + [5(x+1)/lcd]
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Combine the numerators over the lcd:
= [x^2+3x-10 +5x+5]/lcd
---
= [x^2+8x-5]/[(x+1)(x-2)]
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Cheers,
Stan H.
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