<PRE><B>Question 550674</B>
Simplify (x^2+4x+3)/(x^2+7x+12)-(x^2+5x+4)/(x^2-3x-4) please show steps
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Factor where you can to get:
[(x+3)(x+1)/(x+3)(x+4)] - [(x+4)(x+1)/(x-4)(x+1)]
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Simplify each fraction:
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= [(x+1)/(x+4)] - [(x+4)/(x-4)]
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= [(x+1)(x-4)-(x^2+8x+16)/(x^2-16)
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= [x^2-3x-4-x^2-8x-16]/(x^2-16)
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= (-11x-20]/[x^2-16]
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Cheers,
Stan H.
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