Question 96015
{{{(2t^2+22t+56)/(t^2+2t-35)}}} Start with the given expression 



{{{((2t+14)(t+4))/(t^2+2t-35)}}} Factor {{{2t^2+22t+56}}} to get {{{(2t+14)(t+4)}}}  (note: if you need help with factoring, check out this <a href=http://www.algebra.com/algebra/homework/playground/change-this-name4450.solver>solver</a>)


{{{((2t+14)(t+4))/((t+7)(t-5))}}} Factor {{{t^2+2t-35}}} to get {{{(t+7)(t-5)}}}  


{{{(2(t+7)(t+4))/((t+7)(t-5))}}} Factor out the GCF   


{{{(2*cross((t+7))(t+4))/(cross((t+7))(t-5))}}} Cancel like terms


{{{2(t+4)/(t-5)}}} Simplify