Question

simplify.
$(-9v^2 - 9v + 6) - (6v^2 - 9v + 3) + (-3v^2 + 4v - 8)$

Explanation:

Step1: Remove parentheses and distribute signs

$(-9v^2 - 9v + 6) - (6v^2 - 9v + 3) + (-3v^2 + 4v - 8)$
$= -9v^2 - 9v + 6 - 6v^2 + 9v - 3 - 3v^2 + 4v - 8$

Step2: Combine like terms for \(v^2\) terms

$-9v^2 - 6v^2 - 3v^2 = (-9 - 6 - 3)v^2 = -18v^2$

Step3: Combine like terms for \(v\) terms

$-9v + 9v + 4v = (-9 + 9 + 4)v = 4v$

Step4: Combine constant terms

$6 - 3 - 8 = (6 - 3) - 8 = 3 - 8 = -5$

Step5: Combine all results

$-18v^2 + 4v - 5$

Answer:

\(-18v^2 + 4v - 5\)