Question 201814


{{{(v^2+3v-18)/(v^2+12v+36)}}} Start with the given expression.



{{{((v+6)*(v-3))/(v^2+12v+36)}}} Factor {{{v^2+3v-18}}} to get {{{(v+6)*(v-3)}}}.



{{{((v+6)*(v-3))/((v+6)(v+6))}}} Factor {{{v^2+12v+36}}} to get {{{(v+6)(v+6)}}}.



{{{(highlight((v+6))(v-3))/(highlight((v+6))(v+6))}}} Highlight the common terms. 



{{{(cross((v+6))(v-3))/(cross((v+6))(v+6))}}} Cancel out the common terms. 



{{{(v-3)/(v+6)}}} Simplify. 



So {{{(v^2+3v-18)/(v^2+12v+36)}}} simplifies to {{{(v-3)/(v+6)}}}.



In other words, {{{(v^2+3v-18)/(v^2+12v+36)=(v-3)/(v+6)}}}