(x-4)-foil-method.jpeg "(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:
-
First: Multiply the first terms of each binomial:
- x * x = x²
-
Outer: Multiply the outer terms of the binomials:
- x * -4 = -4x
-
Inner: Multiply the inner terms of the binomials:
- -4 * x = -4x
-
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.