Question 207557
{{{(7x^2+64x+9)/(x+9)}}} Start with the given expression.



{{{((x+9)(7x+1))/(x+9)}}} Factor {{{7x^2+64x+9}}} to get {{{(x+9)(7x+1)}}}.



{{{(highlight((x+9))(7x+1))/(highlight((x+9)))}}} Highlight the common terms. 



{{{(cross((x+9))(7x+1))/(cross((x+9)))}}} Cancel out the common terms. 



{{{7x+1}}} Simplify. 



So {{{(7x^2+64x+9)/(x+9)}}} simplifies to {{{7x+1}}}.



In other words, {{{(7x^2+64x+9)/(x+9)=7x+1}}}