(3x+9)(2x+4) Express As A Trinomial

2 min read Jun 16, 2024

Expressing (3x + 9)(2x + 4) as a Trinomial

This problem involves expanding a product of two binomials, which results in a trinomial. Here's how to do it:

1. Understand the Distributive Property

The key to this problem is the distributive property. It states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. In this case, we need to distribute each term of the first binomial across the second binomial.

2. Apply the Distributive Property

Step 1: Multiply the first term of the first binomial (3x) by each term of the second binomial:
- (3x)(2x) = 6x²
- (3x)(4) = 12x
Step 2: Multiply the second term of the first binomial (9) by each term of the second binomial:
- (9)(2x) = 18x
- (9)(4) = 36

3. Combine Like Terms

Now we have: 6x² + 12x + 18x + 36

Combine the terms with x: 6x² + 30x + 36

4. The Result

Therefore, (3x + 9)(2x + 4) expressed as a trinomial is 6x² + 30x + 36.