Add the polynomial expressions 2r2−3r+4%0D%0A2%0D%0A𝑟%0D%0A2%0D%0A−%0D%0A3%0D%0A𝑟%0D%0A+%0D%0A4%0D%0A and −2r2+3r+6%0D%0A−%0D%0A2%0D%0A𝑟%0D%0A2%0D%0A+%0D%0A3%0D%0A𝑟%0D%0A+%0D%0A6%0D%0A .

Answer 1

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

1. Write down the expressions: \[ (2r^2 - 3r + 4) + (-2r^2 + 3r + 6) \]

2. Combine like terms:

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

3. Now, combine the results: \[ 0r^2 + 0r + 10 = 10 \]

Therefore, the sum of the polynomial expressions is: \[ \boxed{10} \]