Question

Add the polynomial expressions 2r² - 3r⁴ and -2r² + 3r⁶.

a. -5r⁶
b. 5r⁶
c. -r⁶
d. r⁶

Answer 1

To add polynomial expressions, combine like terms with the same degree. The sum of 2r² - 3r⁴ and -2r² + 3r⁶ is 3r⁶ - 3r⁴.

Step-by-step explanation:

To add polynomial expressions, we combine like terms. In this case, the like terms are the terms with the same degree (the exponent of the variable). We add 2r² and -2r² to get 0. We add -3r⁴ and 3r⁶ to get 3r⁶ - 3r⁴. So, the sum of the polynomial expressions 2r² - 3r⁴ and -2r² + 3r⁶ is 3r⁶ - 3r⁴.