I need help on how to simplify complex rational expressions & linear equations

Question

anonymous · Answer

This is the complex rational expression I'm working with,

anonymous · Answer

And this is the linear equation I'm working with,

tkhunny · Answer

1) Reciprocal and Multiply.
2) Before actually multiplying, factor everything and see if your life is improved.

anonymous · Answer

So multiply 6 by 5 / x^2 - 36?

tkhunny · Answer

6?

$\dfrac{\dfrac{1}{x+6}}{\dfrac{5}{x^{2}-36}} = \dfrac{1}{x+6}\cdot\dfrac{x^{2}-36}{5}$

Now, it is time to factor where you can.

anonymous · Answer

Ah, when you said reciprocal I was thinking you meant 6 / 1

tkhunny · Answer

:-)  This is why we talk!  How's that factoring going?

anonymous · Answer

Hmm, I'm not sure if I'm factoring properly, 
like this.? 
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