Question

simplify the rational expression
2x^2 -4x -6 / x^2 +x -12

Answer 1

(2x^2 -4x -6)/(x^2 +x -12)


(2(x+1)(x-3))/(x^2 +x -12)


(2(x+1)(x-3))/((x+4)(x-3))


(2(x+1))/(x+4)


(2x+2)/(x+4)


So \[\large \frac{2x^2 -4x -6}{x^2 +x -12}=\frac{2x+2}{x+4}\]