(x-3)(4x+2) Foil Method

less than a minute read Jun 17, 2024

Using the FOIL Method to Expand (x - 3)(4x + 2)

The FOIL method is a mnemonic acronym that stands for First, Outer, Inner, Last. It's a helpful technique for expanding products of binomials. Let's see how it applies to the expression (x - 3)(4x + 2).

1. First: Multiply the first terms of each binomial.

x * 4x = 4x²

2. Outer: Multiply the outer terms of the binomials.

x * 2 = 2x

3. Inner: Multiply the inner terms of the binomials.

-3 * 4x = -12x

4. Last: Multiply the last terms of each binomial.

-3 * 2 = -6

Combining the terms:

Now, we combine all the terms we've calculated:

4x² + 2x - 12x - 6

Finally, simplify the expression by combining like terms:

4x² - 10x - 6

Therefore, the expanded form of (x - 3)(4x + 2) using the FOIL method is 4x² - 10x - 6.