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(x-4)(x-4) Foil Method

2 min read Jun 17, 2024
(x-4)(x-4) Foil Method

Understanding the FOIL Method with (x-4)(x-4)

The FOIL method is a helpful acronym used to remember the steps for multiplying two binomials. It stands for First, Outer, Inner, Last.

Let's apply this method to the expression (x - 4)(x - 4).

Breaking Down the Steps:

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

    • x * x = x²

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

    • x * -4 = -4x

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

    • -4 * x = -4x

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

    • -4 * -4 = 16

Combining the Terms:

Now, we have the following terms:

  • x²
  • -4x
  • -4x
  • 16

Combine the like terms:

  • x² - 4x - 4x + 16 = x² - 8x + 16

The Final Result:

Therefore, (x - 4)(x - 4) = x² - 8x + 16 using the FOIL method.

This process can be applied to any multiplication of two binomials, providing a structured approach for simplifying the expression.

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