# SOLUTION: Help needed simplifying the complex fraction 44. 4 + 2 ________ ______ x2-9 x-3 __________________ 1 + 1 ___ ______ x+3 x-3

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 Question 73864: Help needed simplifying the complex fraction 44. 4 + 2 ________ ______ x2-9 x-3 __________________ 1 + 1 ___ ______ x+3 x-3Answer by rmromero(383)   (Show Source): You can put this solution on YOUR website!``` 4 2 ________ + _______ x^2 - 9 x - 3 __________________________ 1 1 _____ + ______ x+3 x-3 Factor the x^2 - 9 4 2 __________ + _______ (x+3)(x-3) x - 3 __________________________ 1 1 _____ + ______ x+3 x-3 Simplify both numerator and denominator. Multiply the LCD = (x+3)(x-3) 4 2 (x+3)(x-3) __________ + _______ (x+3)(x-3) (x+3)(x-3) x - 3 __________________________ 1 1 (x+3)(x-3) _____ + ______ (x+3)(x-3) x+3 x-3 4 + 2(x+3) ______________ (x-3) + (x+3) 4 + 2x + 6 ____________ x 2x + 10 ___________ x 2(x+5) ________ x ```