Question 147358

{{{(2x^2+x-6)/(2x+4)}}} Start with the given expression.



{{{((x+2)*(2*x-3))/(2x+4)}}} Factor {{{2x^2+x-6}}} to get {{{(x+2)*(2*x-3)}}}.



{{{((x+2)*(2*x-3))/(2(x+2))}}} Factor {{{2x+4}}} to get {{{2(x+2)}}}.



{{{(highlight(x+2)(2*x-3))/((2)highlight(x+2))}}} Highlight the common terms. 



{{{(cross(x+2)(2*x-3))/((2)cross(x+2))}}} Cancel out the common terms. 



{{{(2x-3)/(2)}}} Simplify. 



So {{{(2x^2+x-6)/(2x+4)}}} simplifies to {{{(2x-3)/(2)}}}.



In other words, {{{(2x^2+x-6)/(2x+4)=(2x-3)/(2)}}} where {{{x<>-2}}}