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

and −2r^2+3r+6

To add the two polynomial expressions, we combine like terms:

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

Simplifying further:

0r^2 + 0r + 10

Therefore, the sum of the polynomial expressions 2r^2 - 3r + 4 and -2r^2 + 3r + 6 is 10.

To add the polynomial expressions 2r^2−3r+4 and −2r^2+3r+6, follow these steps:

Step 1: Combine the like terms with the same degree (r^2 term):
2r^2 - 2r^2 = 0

Step 2: Combine the like terms with the same degree (r term):
-3r + 3r = 0

Step 3: Combine the constant terms:
4 + 6 = 10

Therefore, the sum of the polynomial expressions 2r^2−3r+4 and −2r^2+3r+6 is given by 10.