Question 7745
One way to do this is to factor the numerator and, if possible, cancel like factors in the numerator and denominator.

{{{(2x^2 + x - 6)/(2x + 4) = (2x - 3)(x + 2)/(2x + 4)}}} Factor a 2 from the denominator.

{{{(2x^2 + x - 6)/(2x + 4) = (2x - 3)(x + 2)/2(x + 2)}}} Cancel the (x + 2)'s

{{{(2x^2 + x - 6)/(2x + 4) = (2x - 3)/2}}} or,

{{{(2x^2 + x - 6)/(2x + 4) = x - 3/2}}}