Question

use the expression below to complete the following tasks. (3a² - 5ab + b²) - (-3a² + 2b² + 8ab) what is the additive inverse of the polynomial being subtracted? -3a² - 2b² - 8ab -3a² + 2b² - 8ab 3a² - 2b² - 8ab 3a² + 2b² + 8ab done

Explanation:

Step1: Recall additive - inverse definition

The additive inverse of a polynomial \(P(x)\) is \(-P(x)\) such that \(P(x)+(-P(x)) = 0\).

Step2: Identify the polynomial being subtracted

The polynomial being subtracted is \(-3a^{2}+2b^{2}+8ab\).

Step3: Find the additive inverse

To find the additive inverse, change the sign of each term. So, the additive inverse of \(-3a^{2}+2b^{2}+8ab\) is \(3a^{2}-2b^{2}-8ab\).

Answer:

\(3a^{2}-2b^{2}-8ab\) (corresponding to the third option)