SOLUTION: This is combining rational expressions with an unlike denominator. ((x^2+2)/(x^2+2x-15)) + ((7-4x)/(15-2x-x^2))

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: This is combining rational expressions with an unlike denominator. ((x^2+2)/(x^2+2x-15)) + ((7-4x)/(15-2x-x^2))      Log On

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Question 108382: This is combining rational expressions with an unlike denominator.
((x^2+2)/(x^2+2x-15)) + ((7-4x)/(15-2x-x^2))
Answer by stanbon(57354) About Me  (Show Source):
You can put this solution on YOUR website!
((x^2+2)/(x^2+2x-15)) + ((7-4x)/(15-2x-x^2))
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The denominators are the same except for their sign.
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= ((x^2+2)/(x^2+2x-15)) + ((4x-7)/(x^2+2x-15))
= [x^2+4x-5]/[x^2+2x-15]
= [(x+5)(x-1)] / [(x+5)(x-3)]
Concel the (x+5) which is common to numerator and denominator.
= (x-1)/(x-3)
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Cheers,
Stan H.