use the expression below to complete the following tasks. (3a² - 5ab + b²) - (-3a² + 2b² + 8ab) what is the…
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
Answer
Explanation:
Step1: Recall additive - inverse definition
The additive inverse of a polynomial (P(x)) is a polynomial (Q(x)) such that (P(x)+Q(x) = 0). If (P(x)=-3a^{2}+2b^{2}+8ab), we need to find (Q(x)) where ((-3a^{2}+2b^{2}+8ab)+Q(x)=0).
Step2: Calculate the additive inverse
To find the additive inverse, we change the sign of each term of the polynomial (-3a^{2}+2b^{2}+8ab). So, (Q(x)=3a^{2}-2b^{2}-8ab).
Answer:
C. (3a^{2}-2b^{2}-8ab)