Question

Multiply (2x + 1)(x + 3) using the FOIL method​

Answer 1

Answer: 2x² + 7x + 3

Explanation:

Given expression:

(2x + 1)(x + 3)

Here's how FOIL works. FOIL stands for:

first, outside, inner, last

and it's a technique for multiplying binomials.

Multiply the first terms first:

2x * x = 2x^2

Outside:

2x * 3 = 6x

Inside:

1 * x = x

Last:

1 * 3 = 3

Combine:

2x² + 6x + x + 3

2x² + 7x + 3

Answer 2

2x² + 7x + 3

Explanation:

the acronym FOIL represents

F - First ( multiply the first terms in each parenthesis )

O - Outer ( multiply the outer terms in the parenthesis )

I - Inner ( multiply the inner terms in each parenthesis )

L - Last ( multiply the last terms in each parenthesis )

given

(2x + 1)(x + 3)

Applying FOIL

F : 2x × x = 2x²

0 : 3 × 2x = 6x

I : 1 × x = x

L : 1 × 3 = 3

Now sum the parts together

2x² + 6x + x + 3 ← collect like terms

= 2x² + 7x + 3

Then

(2x + 1)(x + 3) = 2x² + 7x + 3