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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 Click here to see ALL problems on Rational-functions 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)   (Show Source): You can put this solution on YOUR website!((x^2+2)/(x^2+2x-15)) + ((7-4x)/(15-2x-x^2)) ---------- The denominators are the same except for their sign. ---------------------- = ((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) ========================= Cheers, Stan H.