SOLUTION: 7/x^2-x-6+5/x-3

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Question 344586: 7/x^2-x-6+5/x-3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
7/(x^2-x-6) + 5/(x-3)
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= [7/[(x-3)(x+2)] + 5/(x-3)
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LCD = (x-3)(x+2)
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Rewrite each fraction with the lcd as its denominator:
= 7/lcd + 5(x+2)/lcd
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= [7+5x+10]/lcd
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= [5x+17]/[(x-3)(x+2)]
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Cheers,
Stan H.