(2x+3)(x+5)

2 min read Jun 16, 2024

Expanding the Expression (2x + 3)(x + 5)

This article will guide you through the process of expanding the expression (2x + 3)(x + 5) using the FOIL method.

What is FOIL?

FOIL is an acronym that stands for First, Outer, Inner, Last. It's a mnemonic device used to help remember the steps involved in multiplying two binomials.

Applying FOIL to (2x + 3)(x + 5)

First: Multiply the first terms of each binomial: (2x) * (x) = 2x²
Outer: Multiply the outer terms of the binomials: (2x) * (5) = 10x
Inner: Multiply the inner terms of the binomials: (3) * (x) = 3x
Last: Multiply the last terms of each binomial: (3) * (5) = 15

Combining Like Terms

After applying FOIL, we have the following expression:

2x² + 10x + 3x + 15

Now, combine the like terms (10x and 3x):

2x² + 13x + 15

The Expanded Expression

Therefore, the expanded form of (2x + 3)(x + 5) is 2x² + 13x + 15.