Question 536621
{{{(6x^2+3x-18)/(2x+4)}}} Start with the given expression.



{{{(3(x+2)(2x-3))/(2x+4)}}} Factor {{{6x^2+3x-18}}} to get {{{3(x+2)(2x-3)}}}.



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



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



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



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


 
{{{(6x-9)/(2)}}} Distribute. 



So {{{(6x^2+3x-18)/(2x+4)}}} simplifies to {{{(6x-9)/(2)}}}.



In other words, {{{(6x^2+3x-18)/(2x+4)=(6x-9)/(2)}}}



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