(3n+2)(n+3) Answer

Jasonbradley

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Jun 16, 2024

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Expanding the Expression: (3n + 2)(n + 3)

The expression (3n + 2)(n + 3) represents the product of two binomials. To find its simplified form, we can use the FOIL method (First, Outer, Inner, Last).

Here's how it works:

1. First: Multiply the first terms of each binomial: 3n * n = 3n²
2. Outer: Multiply the outer terms of the binomials: 3n * 3 = 9n
3. Inner: Multiply the inner terms of the binomials: 2 * n = 2n
4. Last: Multiply the last terms of each binomial: 2 * 3 = 6

Now, we add all the terms together: 3n² + 9n + 2n + 6

Finally, combine the like terms: 3n² + 11n + 6

Therefore, the expanded form of (3n + 2)(n + 3) is 3n² + 11n + 6.