Question

simplify.
$(-2w^2 + w - 4) + (6w^2 + 7w + 3)$

Explanation:

Step1: Remove parentheses

To simplify the expression \((-2w^{2}+w - 4)+(6w^{2}+7w + 3)\), we first remove the parentheses. Since there is a plus sign in front of the second parentheses, the signs of the terms inside remain the same. So we get \(-2w^{2}+w - 4+6w^{2}+7w + 3\).

Step2: Combine like terms

• For the \(w^{2}\) terms: \(-2w^{2}+6w^{2}=(-2 + 6)w^{2}=4w^{2}\)
• For the \(w\) terms: \(w+7w=(1 + 7)w = 8w\)
• For the constant terms: \(-4 + 3=-1\)

Combining these results, we have \(4w^{2}+8w-1\).

Answer:

\(4w^{2}+8w - 1\)