Question

Îmi poate arata cineva cum se rezolva exercititul : E(x)=( x+2)(× la puterea a 2 a + 4x +4)-×-2 totul supra x (×+5)+ 6 ? Urgent

Answer 1

$\rm E(x)=\frac{(x+2)(x^2+4x+4)-x-2}{x(x+5)+6} \\ \\ E(x)=\frac{x^3+4x^2+4x+2x^2+8x+8-x-2}{x^2+5x+6} \\ \\ E(x)=\frac{x^3+6x^2+11x+6}{x^2+3x+2x+6} \\ \\ E(x)=\frac{(x+1)(x+2)(x+3)}{x(x+3)+2(x+3)} \\ \\E(x)= \frac{(x+1)(x+2)(x+3)}{(x+2)(x+3)} \\ \\ \boxed{E(x)=x+1}$