Question 152261

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



{{{(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)}}} where {{{d<>-7}}} or {{{d<>7}}}