Compute in place to show the steps in the solution of these problems


        Combine ${\dfrac{{x}}{{x-y}}}$ - ${\dfrac{{x^{2}}}{{x^{2}-y^{2}}}}$ to give ${\dfrac{{xy}}{{\left( x-y\right) \left( x+y\right) }}}$.


        Combine these fractions ${\dfrac{{x}}{{x+3}}}$ - ${\dfrac{{6x+6}}{{x^{2}-9}}}$ + ${\dfrac{{% x+1}}{{x-3}}}$ and simplify to ${\dfrac{{2x+1}}{{x+3}}}$.