Add the polynomial expressions 2r2−3r+4 and −2r2+3r+6. (1 point)
When adding the polynomial expressions 2r^2 - 3r + 4 and -2r^2 + 3r + 6, we combine like terms.
The coefficients of the terms with the same exponent are added together.
The sum of 2r^2 - 2r^2 is 0.
The sum of -3r + 3r is 0.
The sum of 4 + 6 is 10.
Therefore, the sum of the polynomial expressions 2r^2 - 3r + 4 and -2r^2 + 3r + 6 is 0r^2 + 0r + 10, which simplifies to 10.
To add the polynomial expressions 2r^2 - 3r + 4 and -2r^2 + 3r + 6, we need to combine the like terms.
Step 1: Add the coefficients of the terms with the same degree.
The terms with r^2 are 2r^2 and -2r^2. Adding their coefficients, we get 2 - 2 = 0r^2.
The terms with r are -3r and 3r. Adding their coefficients, we get -3 + 3 = 0r.
Lastly, the constant terms are 4 and 6. Adding them, we get 4 + 6 = 10.
Step 2: Rewrite the sum of the combined terms.
Putting it all together, the sum of the polynomial expressions is 0r^2 + 0r + 10, or simply 10.
Therefore, the sum of the polynomial expressions 2r^2 - 3r + 4 and -2r^2 + 3r + 6 is 10.