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-3
Answer by rmromero(383) About Me  (Show Source):
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           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