Question

find each sum.
(3n² − 5n + 6) + (−8n² − 3n − 2) =
○ −11n² − 8n − 4
○ −11n² − 2n + 4
○ −5n² − 8n + 4
○ −5n² − 2n − 4

Explanation:

Step1: Combine like terms for \(n^2\)

\(3n^2 + (-8n^2) = (3 - 8)n^2 = -5n^2\)

Step2: Combine like terms for \(n\)

\(-5n + (-3n) = (-5 - 3)n = -8n\)

Step3: Combine constant terms

\(6 + (-2) = 6 - 2 = 4\)

Step4: Combine all results

Putting it together, we get \(-5n^2 - 8n + 4\)

Answer:

\(-5n^2 - 8n + 4\) (corresponding to the third option: \(-5n^2 - 8n + 4\))