How to Multiply the Expression (3x+1)(x+3) Using the Distributive Property

(3x+1)(x+3)

To multiply the expression (3x+1)(x+3), you can follow the distributive property

To multiply the expression (3x+1)(x+3), you can follow the distributive property. First, multiply the terms in the first parentheses by each term in the second parentheses.

Let’s break it down step by step:

1. Multiply the first terms:
3x * x = 3x^2

2. Multiply the outer terms:
3x * 3 = 9x

3. Multiply the inner terms:
1 * x = x

4. Multiply the last terms:
1 * 3 = 3

Now, combine the like terms:

3x^2 + 9x + x + 3

Simplifying further:

3x^2 + 10x + 3

Therefore, (3x+1)(x+3) simplifies to 3x^2 + 10x + 3.

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