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leonid [27]
3 years ago
6

What is the sum?

Mathematics
1 answer:
gavmur [86]3 years ago
5 0

Answer:

The answer is option D.

Step-by-step explanation:

First we must first find the LCM

the LCM of x² - 9 and x + 3 is x² - 9

So we have

\frac{3}{ {x}^{2} - 9 }  +  \frac{5}{x + 3}  =   \frac{3 + 5(x - 3)}{ {x}^{2}  - 9}  \\  \\  =  \frac{3 + 5x - 15}{(x + 3)(x - 3)}    \\  \\  = \frac{5x - 12}{(x +  3)(x - 3)}

Hope this helps you

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