Question

simplify ((3w^2 - 2z^2 + 3w) - (w^2 + 2z^2 + 3w)).
options:
(2w^2 - 4z^2)
(4w^2 - 4z^2)
(4w^2 - 4z^2 + 6w)
(2w^2 + 6w)
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.

Explanation:

Step1: Distribute the negative sign

We have \((3w^2 - 2z^2 + 3w) - (w^2 + 2z^2 + 3w)\). Distribute the negative sign to the terms inside the second parentheses: \(3w^2 - 2z^2 + 3w - w^2 - 2z^2 - 3w\).

Step2: Combine like terms

• For \(w^2\) terms: \(3w^2 - w^2 = 2w^2\)
• For \(z^2\) terms: \(-2z^2 - 2z^2 = -4z^2\)
• For \(w\) terms: \(3w - 3w = 0\)

Combining these results, we get \(2w^2 - 4z^2\).

Answer:

\(2w^2 - 4z^2\) (corresponding to the first option: \(2w^2 - 4z^2\))