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Preform the indicated operation. simplify the rational expression.

Preform the indicated operation. simplify the rational expression.-example-1

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Answer:


(3)/(x + 5) + (4)/(x + 1)


= (3(x + 1) + 4(x + 5))/( (x + 1)(x + 5))


= \frac{ 3x + 3 + 4x + 20}{ {x}^(2) + 6x + 5 }


= \frac{7x + 23}{{x}^(2) + 6x + 5}

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