Question 916854
Factor each as much as possible. Then cancel out any similar terms.


{{{(y^2 -25)/(y^2 -3y-10 )}}}


{{{(y^2 -5^2)/(y^2 -3y-10 )}}}


{{{((y-5)(y+5))/(y^2 -3y-10 )}}}


{{{((y-5)(y+5))/((y-5)(y+2))}}}


{{{(highlight((y-5))(y+5))/(highlight((y-5))(y+2))}}}


{{{(cross((y-5))(y+5))/(cross((y-5))(y+2))}}}


{{{(y+5)/(y+2)}}}


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So {{{(y^2 -25)/(y^2 -3y-10 )}}} fully simplifies to {{{(y+5)/(y+2)}}}


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Thanks,


Jim