Question

subtract.
(8n + 6) - (6n + 4)

Explanation:

Step1: Remove the parentheses

To subtract the two polynomials, we first remove the parentheses. When we remove the parentheses in the second term, we have to distribute the negative sign to each term inside the parentheses:
$$(8n + 6) - (6n + 4) = 8n + 6 - 6n - 4$$

Step2: Combine like terms

Next, we combine the like terms. The like terms for the \(n\)-terms are \(8n\) and \(-6n\), and the like terms for the constant terms are \(6\) and \(-4\).
For the \(n\)-terms: \(8n - 6n = 2n\)
For the constant terms: \(6 - 4 = 2\)
Putting these together, we get: \(2n + 2\)

Answer:

\(2n + 2\)