(3m+1)(m+9)=

Jasonbradley

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Jun 16, 2024

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Expanding and Simplifying the Expression (3m+1)(m+9)

The expression (3m+1)(m+9) is a product of two binomials. To simplify it, we can use the FOIL method, which stands for First, Outer, Inner, Last.

Here's how to apply FOIL:

1. First: Multiply the first terms of each binomial: (3m) * (m) = 3m²
2. Outer: Multiply the outer terms of each binomial: (3m) * (9) = 27m
3. Inner: Multiply the inner terms of each binomial: (1) * (m) = m
4. Last: Multiply the last terms of each binomial: (1) * (9) = 9

Now, we have the simplified expression: 3m² + 27m + m + 9

Finally, combine the like terms: 3m² + 28m + 9

Therefore, the expanded and simplified form of (3m+1)(m+9) is 3m² + 28m + 9.

Note: This expression represents a quadratic equation. It can be used to solve for the values of m that make the equation equal to zero.