Question 250959
Simplify by removing factors of 1 (for both problems). 
m^2 - 49 /(m+7)^2
=[(m-7)(m+7)]/[(m+7)(m+7)] 
Cancel the common factor (m+7) to get:
= (m-7)/(m+7)
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and 
6q^2 + 6q / 30q^2 + 36q 
= [6q(q+1)] / [6q(5q+6)]
Cancel the common factor 6q to get:
= (q+1)/(5q+6)
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Cheers,
Stan H.