1/g+2 + 3/g+1
To add these two fractions, we need a common denominator.
The common denominator in this case is (g + 1)(g + 2), so the fractions become:
(g(g+2))/(g+1)(g+2) + 3(g+1)/(g+1)(g+2)
Now we can combine the fractions by adding the numerators:
(g(g+2) + 3(g+1))/(g+1)(g+2)
Expanding the numerators:
(g^2 + 2g + 3g + 3)/(g^2 + 3g + 2g + 2)
Combine like terms:
(g^2 + 5g + 3)/(g^2 + 5g + 2)
Therefore, the final combined fraction is:
(g^2 + 5g + 3)/(g^2 + 5g + 2)
what is the sum
The sum of the fractions is:
g^2 + 5g + 3 divided by g^2 + 5g + 2
This is the simplified form of the sum of the two fractions.