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Question 562202: (x)/(x^(2)+9x+20)-(4)/(x^(2)+7x+12)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! (x)/(x^(2)+9x+20)-(4)/(x^(2)+7x+12)
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x/[(x+4)(x+5)] - 4/[(x+3)(x+4)]
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least common denominator: (x+4)(x+3)(x+5)
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Rewrite each fraction with the lcm as its denominator:
[x(x+3) - 4(x+5)]/lcm
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[x^2+3x-4x-20]/lcm
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= (x^2-x-20)/ lcm
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= [(x-5)(x+4)] / [(x+3)(x+4)(x+5)]
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Cheers,
Stan H.
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