(2x+3)(3x+3) Trinomial

2 min read Jun 16, 2024

Multiplying Binomials: (2x + 3)(3x + 3)

This article will walk you through multiplying the two binomials, (2x + 3) and (3x + 3). We will use the FOIL method, which stands for First, Outer, Inner, Last.

FOIL Method

The FOIL method is a mnemonic device that helps us remember how to multiply two binomials.

First: Multiply the first terms of each binomial.
Outer: Multiply the outer terms of the two binomials.
Inner: Multiply the inner terms of the two binomials.
Last: Multiply the last terms of each binomial.

Applying FOIL to (2x + 3)(3x + 3)

Let's apply the FOIL method to our problem:

First: (2x)(3x) = 6x²

Outer: (2x)(3) = 6x

Inner: (3)(3x) = 9x

Last: (3)(3) = 9

Combining Like Terms

Now, we add all the terms together:

6x² + 6x + 9x + 9

Finally, combine the like terms:

6x² + 15x + 9

Conclusion

Therefore, the product of (2x + 3) and (3x + 3) is 6x² + 15x + 9. This trinomial represents the expanded form of the original product of the two binomials.