(x-2)-foil.jpeg "(x-2)(x-2) Foil")
Understanding the FOIL Method: (x - 2)(x - 2)
The FOIL method is a mnemonic acronym that helps us remember the steps for multiplying two binomials. It stands for First, Outer, Inner, Last, which represents the order in which we multiply the terms of each binomial.
Let's apply the FOIL method to the expression (x - 2)(x - 2):
1. First: Multiply the first terms of each binomial:
- x * x = x²
2. Outer: Multiply the outer terms of each binomial:
- x * -2 = -2x
3. Inner: Multiply the inner terms of each binomial:
- -2 * x = -2x
4. Last: Multiply the last terms of each binomial:
- -2 * -2 = 4
Now, we add all the resulting terms together:
x² - 2x - 2x + 4
Finally, combine like terms:
x² - 4x + 4
Therefore, (x - 2)(x - 2) = x² - 4x + 4.
Why is this important?
Understanding the FOIL method is crucial when working with polynomial expressions. It allows us to simplify and solve equations involving binomials, which is essential in various mathematical applications.
Practice makes perfect!
Try using the FOIL method to multiply other binomial expressions. You'll get the hang of it in no time!