Add the polynomial expressions 2r2−3r+4 and −2r2+3r+6.

(2r^2 - 3r + 4) + (-2r^2 + 3r + 6) = 2r^2 - 2r^2 - 3r + 3r + 4 + 6 = 10

To add the polynomial expressions 2r^2 - 3r + 4 and -2r^2 + 3r + 6, we simply add the like terms together:

(2r^2 - 2r^2) + (-3r + 3r) + (4 + 6)

Simplifying this equation, we get:

0r^2 + 0r + 10

Therefore, the sum of the given polynomial expressions is 10.