Finding the Product of (3n+2)(n+3)
This expression represents a multiplication of two binomials. To find the product, we can use the FOIL method, which stands for:
- First: Multiply the first terms of each binomial.
- Outer: Multiply the outer terms of the binomials.
- Inner: Multiply the inner terms of the binomials.
- Last: Multiply the last terms of each binomial.
Let's apply this method to our expression:
F: (3n) * (n) = 3n² O: (3n) * (3) = 9n I: (2) * (n) = 2n L: (2) * (3) = 6
Now, combine all the terms:
3n² + 9n + 2n + 6
Finally, simplify by combining the like terms:
3n² + 11n + 6
Therefore, the product of (3n+2)(n+3) is 3n² + 11n + 6.