Question

a forma simplificada da expressão {x² - 6x + 9}{(x² - 9)*(x² - 5x + 6 }é igual a:

Answer 1

$\frac{x^2-6x+9}{(x^2-9)*(x^2-5x+6)}= \\ \\ \frac{(x-3)*(x-3)}{(x^2-9)*(x^2-5x+6)}=\\\\\frac{(x-3)*(x-3)}{(x-3)*(x+3)*(x^2-5x+6)}=\\\\\frac{(x-3)}{(x+3)*(x^2-5x+6)}= \\ \\ \frac{(x-3)}{(x+3)*(x-2)*(x-3)}= \\ \\ \frac{1}{(x+3)*(x-2)} \\ \\ ou: \\ \\ \frac{1}{x^2+x-6}$