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irina [24]
3 years ago
12

Simplify the following expression and state the excluded values m+7/m^2+4m-21

Mathematics
2 answers:
insens350 [35]3 years ago
7 0
Answer:     1 / (m−3) ;  m ≠ -3, 7 .
_____________________________________
Explanation:
________________________________________
Given:
________________________________________
<span>(m+7) / (m</span>² <span>+ 4m</span> − 21) ; Simplify the expression ;
____________________________________________
In the "denominator" :  " m² + 4m − 21 "  ; see if we can factor out an 
  "(m+7)" which is in the 'numerator' ;
________________________________________
        m² + 4m − 21 = (m+7) (m−3) ;  Yes!
___________________________________________
So, rewrite the original problem as:
___________________________________________
       (m+7) / [(m+7)(m−3)] ; and the "(m−7)" in both the numerator AND the denominator "cancel out" to "1";  since anything divided by that same number equals "1" ;
___________________________________________

So we rewrite the expression:
__________________________________________
   1 / (m−3) ; m ≠ -3, 7 .
_____________________________________________

erastova [34]3 years ago
4 0
5m-14/(m+1)(m-1)

excluded values: 1,-1
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