For this case we have the following expression:
1 / 2g ^ 2 + 7/2 + 3g ^ 2- 4 / 5g + 1/4
The first thing we must do is to group terms with the same degree:
g ^ 2 (1/2 + 3) - 4 / 5g + (7/2 + 1/4)
Then, rewriting we have:
(7/2) g ^ 2 - (4/5) g + (15/4)
Answer:
(7/2) g ^ 2 - (4/5) g + (15/4)