Question

question 12
1 pts
simplify. assume that no variable equals 0.
$(6w - 11w^2) - (4 + 7w^2)$
$\circ -18w^2 + 6w - 4$
$\circ -4w^2 + 6w + 4$
$\circ 18w^2 + 6w - 4$
$\circ -16w^2$

Explanation:

Step1: Remove parentheses

To remove the parentheses, we distribute the negative sign to the terms inside the second parentheses:
$(6w - 11w^2) - (4 + 7w^2) = 6w - 11w^2 - 4 - 7w^2$

Step2: Combine like terms

Combine the $w^2$ terms: $-11w^2 - 7w^2 = -18w^2$
The $w$ term remains $6w$, and the constant term remains $-4$.

Putting it all together, we get: $-18w^2 + 6w - 4$

Answer:

$\boldsymbol{-18w^2 + 6w - 4}$ (which corresponds to the first option: A. $-18w^2 + 6w - 4$)