Question 195819
{{{(3x^2+18x-48)/(2x+16)}}} Start with the given expression.



{{{(3(x+8)(x-2))/(2x+16)}}} Factor {{{3x^2+18x-48}}} to get {{{3(x+8)(x-2)}}}.



{{{(3(x+8)(x-2))/(2(x+8))}}} Factor {{{2x+16}}} to get {{{2(x+8)}}}.



{{{(3*highlight((x+8))(x-2))/(2*highlight((x+8)))}}} Highlight the common terms. 



{{{(3*cross((x+8))(x-2))/(2*cross((x+8)))}}} Cancel out the common terms. 



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



{{{(3x-6)/2}}} Distribute. 



So {{{(3x^2+18x-48)/(2x+16)}}} simplifies to {{{(3x-6)/2}}}.



In other words, {{{(3x^2+18x-48)/(2x+16)=(3x-6)/2}}} where {{{x<>-8}}}