Add the polynomial expressions 2r^2−3r+4

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

1. **Combine the \(r^2\) terms:**
\[
2r^2 + (-2r^2) = 0
\]

2. **Combine the \(r\) terms:**
\[
-3r + 3r = 0
\]

3. **Combine the constant terms:**
\[
4 + 6 = 10
\]

Now, putting it all together:

\[
0 + 0 + 10 = 10
\]

So, the sum of the polynomial expressions is \(10\).