Question 187779
{{{(x+7)/(x^2-49)}}} Start with the given expression.



{{{(x+7)/((x+7)(x-7))}}} Factor the denominator.



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



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



{{{1/(x-7)}}} Simplify



So {{{(x+7)/(x^2-49)=1/(x-7)}}} where {{{x<>-7}}} or {{{x<>7}}}