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)   (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
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