(x-6)-foil-method.jpeg "(x-6)(x-6) Foil Method")
Using the FOIL Method to Expand (x-6)(x-6)
The FOIL method is a mnemonic acronym used to remember the steps for multiplying two binomials. It stands for First, Outer, Inner, Last. Let's use it to expand the expression (x-6)(x-6).
Steps:
- First: Multiply the first terms of each binomial: x * x = x²
- Outer: Multiply the outer terms of the binomials: x * -6 = -6x
- Inner: Multiply the inner terms of the binomials: -6 * x = -6x
- Last: Multiply the last terms of each binomial: -6 * -6 = 36
Combining the Terms
Now, we add all the terms we calculated: x² - 6x - 6x + 36
Finally, we combine the like terms: x² - 12x + 36
Conclusion
Therefore, using the FOIL method, we have expanded (x-6)(x-6) to x² - 12x + 36. This method ensures that we multiply each term in the first binomial by each term in the second binomial, resulting in the correct expanded expression.