Question 248806

{{{(d+7)/(d^2-49)}}} Start with the given expression.



{{{((d+7))/(d^2-49)}}} Factor {{{d+7}}} to get {{{(d+7)}}}.



{{{((d+7))/((d-7)*(d+7))}}} Factor {{{d^2-49}}} to get {{{(d-7)*(d+7)}}}.



{{{(highlight((d+7)))/((d-7)highlight((d+7)))}}} Highlight the common terms. 



{{{(cross((d+7)))/((d-7)cross((d+7)))}}} Cancel out the common terms. 



{{{1/(d-7)}}} Simplify. 



So {{{(d+7)/(d^2-49)}}} simplifies to {{{1/(d-7)}}}.



In other words, {{{(d+7)/(d^2-49)=1/(d-7)}}}