Question

(2/(3-x)^2+3/(x^2-9))*(x-3)^2-5x/(x+3)

Answer 1

$(frac{2}{(x-3)^2} +frac{3}{(x-3)(x+3)} )cdot (x-3)^2 - frac{5x}{x+3} =\ = frac{2cdot (x-3)^2}{(x-3)^2} +frac{3cdot (x-3)^2}{(x-3)(x+3)} - frac{5x}{x+3} = 2+frac{3cdot (x-3)}{x+3} - frac{5x}{x+3} =\ = 2+frac{3x-9-5x}{x+3} = 2+frac{-2x-9}{x+3} = frac{2x+6-2x-9}{x+3} =-frac{3}{x+3}$