Question

Add the polynomial expressions 2r to the second power - 3r + 4 and -2r to the second power + 3r + 6

Answer 1

To add the polynomial expressions \( 2r^2 - 3r + 4 \) and \( -2r^2 + 3r + 6 \), we can combine like terms.

1. First, list the expressions:
- \( 2r^2 - 3r + 4 \)
- \( -2r^2 + 3r + 6 \)

2. Now, combine the like terms:

- For \( r^2 \) terms:
\[
2r^2 + (-2r^2) = 0
\]

- For \( r \) terms:
\[
-3r + 3r = 0
\]

- For the constant terms:
\[
4 + 6 = 10
\]

3. Putting it all together, we get:
\[
0 + 0 + 10 = 10
\]

The sum of the polynomial expressions is \( \boxed{10} \).