Question

What is the sum 1/g+2 +3/g+1
a. 3/g+3
b. g+3/(g+1)(g+2)
c. 4g+7/(g+1)(g+2)
d. 2g+3/(g+1)(g+2)

Answer 1

g+2 and g+1 are the denominators of the fractions. To add the fractions together, you need to create a common denominator. In this case, how would you make that common denominator?

Answer 2

1/g+2 +3/g+1
denominators are (g+2)and (g+1). LCD is (g+2)(g+1)
1/g+2 +3/g+1
=(g+1)/((g+1)(g+2)) + 3(g+2)/((g+1)(g+2))
=(g+1+3g+6)/((g+1)(g+2))
=the last step is left for you