Сократите дробь: х^2-5x+6/x^2-9

[latex] frac{x^2-5x+6}{x^2-9}= frac{(x-2)(x-3)}{(x+3)(x-3)} = frac{x-2}{x+3} [/latex]

[latex] x^{2} -5x+6[/latex] / [latex] x^{2} -9[/latex][latex] x^{2} -5x+6[/latex] = 0[latex] x_{1,2} [/latex] = 5±1 ; [latex] x_{1} [/latex] = 3  ;  [latex] x_{2} [/latex] = 2            2(x-3)(x-2)  = (x-2)(x-3)(x+3)    (x+3)