Question

Упростите выражение$frac{ x^{n}+2x^{n-1}-3x^{n-2}}{x^{2}+5x+6}$

Answer 1

$frac{x^{n}+2x^{n-1}-3x^{n-2}}{x^2+5x+6} = frac{x^{n-2}cdot (x^2+2x-3)}{x^2+5x+6} = frac{x^{n-2}cdot (x-1)(x+3)}{(x+2)(x+3)} = frac{x^{n-2}cdot (x-1)}{x+2}$