(4n +1)(2n+6)
First, distribute the terms inside the parentheses:
(4n + 1)(2n + 6)
= 4n * 2n + 4n * 6 + 1 * 2n + 1 * 6
= 8n^2 + 24n + 2n + 6
Combine like terms:
8n^2 + 24n + 2n + 6
= 8n^2 + 26n + 6
Therefore, (4n + 1)(2n + 6) simplifies to 8n^2 + 26n + 6.