Wykonaj dzielenie,odpowiedź podaj w najprostszej postaci. a)[latex] frac{125 - x^{3} }{x^{2}+2x+1} : frac{x-5}{x+1} [/latex] b) [latex] frac{2x}{x^{2}-9} : frac{6x^{2} }{x^{2}-6x+9}[/latex]

a) [latex]frac{125 - x^{3} }{x^{2}+2x+1} : frac{x-5}{x+1}=[/latex] [latex]frac{(5-x)(x^2+5x+25)}{(x + 1)^2}cdot frac{x+1}{x-5}=[/latex] [latex]frac{-(x-5)(x^2+5x+25)}{x + 1}cdot frac{1}{x-5}=[/latex] [latex]-frac{x^2+5x+25}{x + 1}[/latex] b) [latex]frac{2x}{x^{2}-9} : frac{6x^{2} }{x^{2}-6x+9}=[/latex] [latex]frac{2x}{(x-3)(x+3)} : frac{6x^{2} }{(x-3)^2}=[/latex] [latex]frac{2x}{(x-3)(x+3)}cdot frac{(x-3)^2}{6x^{2}}=[/latex] [latex]frac{x-3}{3x(x+3)}[/latex]