`x/(x^2-9) + (x+1)/(x^2+6x+9)` Perform the indicated operation(s) and simplify

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Apply the following identities to factorize the denominators of the above rational functions:

`a^2-b^2=(a+b)(a-b)`  and




LCD of the above expression is `(x-3)(x+3)^2`



Combine the like terms of the numerator,



Factorize the numerator by splitting the middle term,




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