Question

(5x² - 8x + 2) + (2x² - 3x - 3)

Explanation:

Step1: Remove parentheses

To add the two polynomials, we first remove the parentheses. Since there is a plus sign in front of both parentheses, the signs of the terms inside remain the same. So we have:
\(5x^{2}-8x + 2+2x^{2}-3x - 3\)

Step2: Combine like terms

Next, we combine the like terms. For the \(x^{2}\) terms: \(5x^{2}+2x^{2}=(5 + 2)x^{2}=7x^{2}\). For the \(x\) terms: \(-8x-3x=(-8-3)x=-11x\). For the constant terms: \(2 - 3=-1\).

Putting it all together, we get:
\(7x^{2}-11x - 1\)

Answer:

\(7x^{2}-11x - 1\)