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((-3/) /(x² - 9)) + ((5) / (4x + 12))

 Mar 3, 2015

Best Answer 

 #1
avatar+128732 
+5

((-3/) /(x² - 9)) + ((5) / (4x + 12))    factor, where possible

(-3)/[(x + 3)(x - 3)] + (5)/[4(x + 3)]  get common denominators

[(-3)(4) + (5)(x - 3)]  / [(4)(x -3)(x + 3)]   simplify

[-12 + 5x - 15] /[4(x -3)(x + 3)] =

[5x - 27] / [4(x -3)(x + 3)]

 

 Mar 3, 2015
 #1
avatar+128732 
+5
Best Answer

((-3/) /(x² - 9)) + ((5) / (4x + 12))    factor, where possible

(-3)/[(x + 3)(x - 3)] + (5)/[4(x + 3)]  get common denominators

[(-3)(4) + (5)(x - 3)]  / [(4)(x -3)(x + 3)]   simplify

[-12 + 5x - 15] /[4(x -3)(x + 3)] =

[5x - 27] / [4(x -3)(x + 3)]

 

CPhill Mar 3, 2015

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