Question

1. find the difference of (6.4n² + 1.9n − 7) and (−2.3n² − 5.8n − 3).

Explanation:

Step1: Set up subtraction expression

$(6.4n^2 + 1.9n - 7) - (-2.3n^2 - 5.8n - 3)$

Step2: Distribute the negative sign

$6.4n^2 + 1.9n - 7 + 2.3n^2 + 5.8n + 3$

Step3: Combine like $n^2$ terms

$6.4n^2 + 2.3n^2 = 8.7n^2$

Step4: Combine like $n$ terms

$1.9n + 5.8n = 7.7n$

Step5: Combine constant terms

$-7 + 3 = -4$

Step6: Combine all simplified terms

$8.7n^2 + 7.7n - 4$

Answer:

$8.7n^2 + 7.7n - 4$