Question 173384


{{{(z^3+4z^2)/(z^2+8z+16)}}} Start with the given expression.



{{{(z^2(z+4))/(z^2+8z+16)}}} Factor {{{z^3+4z^2}}} to get {{{z^2(z+4)}}}.



{{{(z^2(z+4))/((z+4)(z+4))}}} Factor {{{z^2+8z+16}}} to get {{{(z+4)(z+4)}}}.



{{{(z^2*highlight((z+4)))/(highlight((z+4))(z+4))}}} Highlight the common terms. 



{{{(z^2*cross((z+4)))/(cross((z+4))(z+4))}}} Cancel out the common terms. 



{{{z^2/(z+4)}}} Simplify. 



So {{{(z^3+4z^2)/(z^2+8z+16)}}} simplifies to {{{z^2/(z+4)}}}.