(2n%2B6)-answer.jpeg "(4n+1)(2n+6) Answer")
Simplifying the Expression (4n+1)(2n+6)
This article aims to guide you through simplifying the expression (4n+1)(2n+6). We'll use the distributive property of multiplication and combine like terms to reach the simplest form.
Expanding the Expression
The distributive property tells us that multiplying a sum by a number is the same as multiplying each term of the sum by the number and adding the results. Applying this to our expression:
(4n+1)(2n+6) = 4n(2n+6) + 1(2n+6)
Now, we distribute further:
= (4n * 2n) + (4n * 6) + (1 * 2n) + (1 * 6)
Combining Like Terms
Simplifying the multiplication:
= 8n² + 24n + 2n + 6
Combining the terms with 'n':
= 8n² + 26n + 6
Final Simplified Expression
Therefore, the simplified form of (4n+1)(2n+6) is 8n² + 26n + 6.