[tex]\frac{4x}{x+2} +\frac{x+7}{x} =\frac{4x^2}{x(x+2)} +\frac{(x+7)(x+2)}{x(x+2)} =\frac{4x^2+x^2+2x+7x+14}{x(x+2)} =\frac{5x^2+9x+14}{x(x+2)}[/tex]
[tex]\frac{5}{x+3} -\frac{2x}{x-6} =\frac{5(x-6)}{(x+3)(x-6)} -\frac{2x(x+3)}{(x+3)(x-6)} =\frac{5x-30-2x^2-6x}{(x+3)(x-6)} =\frac{-2x^2-x-30}{(x+3) (x-6)}[/tex]
