SOLUTION: Please help with the following: State the excluded values for the following expression. Then simplify the expression: (m^2-2m-3)/ (m^2-10m+21) Thanks!

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Question 1097591: Please help with the following:
State the excluded values for the following expression. Then simplify the expression:
(m^2-2m-3)/ (m^2-10m+21)
Thanks!

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The expression %28m%5E2-2m-3%29%2F+%28m%5E2-10m%2B21%29
has no value when m%5E2-10m%2B21=0 ,
and since m%5E2-10m%2B21=%28m-7%29%28m-3%29 ,
m%5E2-10m%2B21=%28m-7%29%28m-3%29=0 if and only if m=7 or m=3 .
Those values of m are excluded.

m%5E2-2m-3=%28m%2B1%29%28m-3%29 ,
so for m%3C%3E3 , .