Simplifying (2n + 2)(6n + 1)
To simplify the expression (2n + 2)(6n + 1), we can use the FOIL method:
First: Multiply the first terms of each binomial.
- 2n * 6n = 12n²
Outer: Multiply the outer terms of the binomials.
- 2n * 1 = 2n
Inner: Multiply the inner terms of the binomials.
- 2 * 6n = 12n
Last: Multiply the last terms of each binomial.
- 2 * 1 = 2
Now, add all the terms together:
12n² + 2n + 12n + 2
Combine the like terms:
12n² + 14n + 2
Therefore, the simplified form of (2n + 2)(6n + 1) is 12n² + 14n + 2.