Question 152477
Note: I'm assuming that 2x(2) means {{{2x^2}}}. If you want to represent exponents, type 2x^2 to get {{{2x^2}}}





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



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



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



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



{{{(cross((x+2))(2x-3))/(2cross((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}}}