How do you simplify $(5)/(x-3) + (x)/(x^2-9)$ ?

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Answer 1 · 2016-05-13T10:08:58

$(6x+15)/(x^2-9)$

$(x^2-9)=(x+3)(x-3)$ and $5/(x-3)=5(x+3)/((x-3)(x+3)) =(5x+15)/(x^2-9)$
so $5/(x-3)+x/(x^2-9) = (5x+15)/(x^2-9)+x/(x^2-9) = (6x+15)/(x^2-9)$

How do you simplify (5)/(x-3) + (x)/(x^2-9)(5)/(x-3) + (x)/(x^2-9)?