Question

Answer 1

\(\dfrac{2x-6}{x^2-x-6}\left(x\ne3;x\ne-2\right)\)

\(=\dfrac{2\left(x-3\right)}{x^2-3x+2x-6}\)

\(=\dfrac{2\left(x-3\right)}{x\left(x-3\right)+2\left(x-3\right)}\)

\(=\dfrac{2\left(x-3\right)}{\left(x-3\right)\left(x+2\right)}\)

\(=\dfrac{2}{x+2}\)

Answer 2

ĐKXĐ: \(x\notin\left\{3;-2\right\}\)

\(\dfrac{2x-6}{x^2-x-6}\)

\(=\dfrac{2\left(x-3\right)}{\left(x-3\right)\left(x+2\right)}\)

\(=\dfrac{2}{x+2}\)