Add the polynomial expressions 2r2−3r+4

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

Here are the two expressions:

1. \( 2r^2 - 3r + 4 \)
2. \( -2r^2 + 3r + 6 \)

Now, add the coefficients of like terms together:

- For \( r^2 \) terms: \( 2r^2 + (-2r^2) = 0r^2 \)
- For \( r \) terms: \( -3r + 3r = 0r \)
- For the constant terms: \( 4 + 6 = 10 \)

Putting it all together, we have:

\[
0r^2 + 0r + 10 = 10
\]

So, the result of adding the two polynomial expressions is \( 10 \).