Question

Simplifique as expressões racionais:x²+3x+2 / x²-x-2

Answer 1

x²+3x+2/x²-x-2 = (x+2)(x+1)/(x+1)(x-2) = (x+2)/(x-2)

(x+1)(x-2) = x²-2x+x-2 = x²-x-2
(x+2)(x+1) = x²+x+2x+2 = x²+3x+2 

Answer 2

$\dfrac{x^2 + 3x + 2}{x^2 - x - 2} \\ \\ \\ \dfrac{(\not x + \not1)(x + 2)}{(x - 2)(\not x + \not1)} \\ \\ \\ =\ \textgreater \ \dfrac{x + 2}{x - 2}$