Wykonaj działanie  a)[latex] frac{x-2}{x+1} + frac{9x+2}{x-3} [/latex] b)[latex] frac{4}{x+1} - frac{6}{x+2} [/latex] c)[latex] frac{x+6}{ x^{2} -25} * frac{x+5}{3x+18} [/latex] BARDZO PROSZE O POMOC DaJe NAJ 

a) [latex]x eq -1 \ i \ x eq 3 \ \ frac{x-2}{x+1}+ frac{9x+2}{x-3} = frac{(x-2)(x-3)}{(x+1)(x-3)} + frac{(9x+2)(x+1)}{(x+1)(x-3)}= frac{x^2-3x-2x+6}{(x+1)(x-3)} + frac{9x^2+9x+2x+2}{(x+1)(x-3)}= \ frac{x^2-5x+6}{(x+1)(x-3)}+ frac{9x^2+11x+2}{(x+1)(x-3)} = frac{10x^2+6x+8}{(x+1)(x-3)}= frac{2(5x^2+3x+4)}{(x+1)(x-3)} [/latex] b) [latex] frac{4}{x+1}- frac{6}{x+2} = frac{4(x+2)}{(x+1)(x+2)}- frac{6(x+1)}{(x+1)(x+2)}= frac{4x+8}{(x+1)(x+2)} - frac{6x+6}{(x+1)(x+2)}= [/latex] [latex] frac{4x+8-6x-6}{(x+1)(x+2)}= frac{-2x+2}{(x+1)(x+2)}= frac{-2(x-1)}{(x+1)(x+2)} [/latex] c) [latex] frac{x+6}{x^2-25} * frac{x+5}{3x+18} = frac{x+6}{(x+5)(x-5)}* frac{x+5}{3(x+6)} = frac{1}{3(x-5)} [/latex]