Question

(3a² - 5ab + b²)+(-3a² + 2b² + 8ab)
which of the following shows the sum of the polynomials rewritten with like terms grouped together?
○ 3a²+(-3a²)+(-5ab + 8ab)+(b² + 2b²)
○ 3a²+(-3a²)+(-5ab + 2b²)+(b² + 8ab)
○ 3a² + 3a²+(5ab + 8ab)+(b² + 2b²)
○ 3a² + 3a²+(5ab + 2b²)+(b² + 8ab)
done

Explanation:

Step1: Recall the concept of like - terms

Like - terms are terms that have the same variables raised to the same powers. In the polynomials $(3a^{2}-5ab + b^{2})+(-3a^{2}+2b^{2}+8ab)$, the like - terms are: $3a^{2}$ and $- 3a^{2}$, $-5ab$ and $8ab$, $b^{2}$ and $2b^{2}$.

Step2: Group the like - terms

We group the $a^{2}$ terms, the $ab$ terms, and the $b^{2}$ terms together. The correct grouping is $[3a^{2}+(-3a^{2})]+(-5ab + 8ab)+(b^{2}+2b^{2})$.

Answer:

[3a^{2}+(-3a^{2})]+(-5ab + 8ab)+(b^{2}+2b^{2})