Question

Find the sum. (4p - 2p^2 + 8) + (5p^2 +2p) + (7 - 3p)
3p^2 + 6p + 15
-2p^2 + 8p + 15
5p^2 + p + 15
3p^2 + 3p + 15

Answer 1

Let's combine the expression step by step:

1. Start with the original expression:
\[
(4p - 2p^2 + 8) + (5p^2 + 2p) + (7 - 3p)
\]

2. Distribute and group like terms:
- Combine all the \(p^2\) terms:
\[
-2p^2 + 5p^2 = 3p^2
\]
- Combine all the \(p\) terms:
\[
4p + 2p - 3p = 3p
\]
- Combine all the constant terms:
\[
8 + 7 = 15
\]

3. Putting it all together, we get:
\[
3p^2 + 3p + 15
\]

Thus, the final sum is:
\[
\boxed{3p^2 + 3p + 15}
\]