Question 156931

{{{(4a^2+18a+8)/(a+4)}}} Start with the given expression.



{{{(2(a+4)(2a+1))/(a+4)}}} Factor {{{4a^2+18a+8}}} to get {{{2(a+4)(2a+1)}}}.



{{{(2highlight((a+4))(2a+1))/(highlight((a+4)))}}} Highlight the common terms. 



{{{(2cross((a+4))(2a+1))/(cross((a+4)))}}} Cancel out the common terms. 



{{{(2(2a+1))/(1)}}} Simplify.



{{{2(2a+1)}}} Reduce



{{{4a+2}}} Distribute



So {{{(4a^2+18a+8)/(a+4)}}} simplifies to {{{4a+2}}}.



In other words, {{{(4a^2+18a+8)/(a+4)=4a+2}}} where {{{a<>-4}}}.