Question 148489
It's okay, I will help you.


First start with this
{{{(x+9)/(x^2-9)-(2/(x-3))}}}


Then factor everything you can possibly factor without going into crazy pointless decimals. in other words, factor {{{x^2-9}}}:


{{{(x+9)/(x-3)(x+3)-(2/(x-3))}}}


Multiply {{{2/(x-3)}}} by {{{(x+3)/(x+3)}}}


{{{(x+9)/(x-3)(x+3)-(2(x+3)/(x-3)(x+3))}}}


Simplify 2(x+3)


{{{(x+9)/(x-3)(x+3)-((2x+6)/(x-3)(x+3))}}}


Now do the subtraction


{{{(x+9-2x-6)/(x-3)(x+3)}}}


Simplify the numerator


{{{(-x+3)/(x-3)(x+3)}}}


Take out a negative one in the numerator


{{{(-1)(x-3)/(x-3)(x+3)}}}


Cancel out like terms


{{{(-1)/(x+3)}}}


Did it all come back to you?