Question 158265


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



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



{{{((y-7)*(y+7))/(-(y-7))}}} Factor {{{7-y}}} to get {{{-(y-7)}}}.



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



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



{{{-(y+7)}}} Simplify. 



{{{-y-7}}} Distribute



So {{{(y^2-49)/(7-y)}}} simplifies to {{{-y-7}}}.



In other words, {{{(y^2-49)/(7-y)=-y-7}}} where {{{y<>7}}}