(x-1)(x-1) Foil

2 min read Jun 17, 2024
(x-1)(x-1) Foil

Understanding the FOIL Method with (x-1)(x-1)

The FOIL method is a handy acronym that helps us remember the steps for multiplying two binomials. It stands for:

  • First
  • Outer
  • Inner
  • Last

Let's apply it to the expression (x-1)(x-1):

Step 1: First

Multiply the first terms of each binomial:

  • x * x =

Step 2: Outer

Multiply the outer terms of the binomials:

  • x * -1 = -x

Step 3: Inner

Multiply the inner terms of the binomials:

  • -1 * x = -x

Step 4: Last

Multiply the last terms of the binomials:

  • -1 * -1 = 1

Combining the Terms

Now, add all the results together:

x² - x - x + 1

Simplifying the Expression

Combine the like terms:

x² - 2x + 1

Therefore, (x-1)(x-1) = x² - 2x + 1 using the FOIL method.

Key Takeaways

  • The FOIL method ensures we multiply all the necessary terms in a binomial multiplication.
  • It helps to organize the steps and avoid missing any terms.
  • Always remember to combine like terms after applying FOIL to get the simplified expression.

Related Post