Question

Multiply the binomials. $(x+2)(x-4)$

   Multiply the binomials.
$(x+2)(x-4)$

Intermediate Algebra

Intermediate Algebra

Lisa Healey 1st Edition

Chapter 4, Problem 13

Instant Answer

Solved by Expert Julie Silva

04/14/2021

Step 1

Step 1: Identify the binomials to be multiplied, which are \( (x + 2) \) and \( (x - 4) \). Show more…

Show all steps

lock

Thanks for your feedback!

Multiply the binomials. $(x+2)(x-4)$

Play audio

Feedback

Powered by NumerAI

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Combining Like Terms

After applying the distributive property or the FOIL method, you often end up with several terms that can be combined. Combining like terms is the process of adding or subtracting terms that have the same variable and exponent, which simplifies the expression and helps in solving equations.

Distributive Property

The distributive property is a fundamental algebraic principle that allows you to multiply a single term by each term within a parenthesis. It is used to expand expressions and simplify equations by ensuring that each term inside the parentheses is multiplied by the term outside, thereby eliminating the parentheses.

FOIL Method

The FOIL method is a mnemonic that stands for First, Outer, Inner, Last, which is a technique specifically used to multiply two binomials. This method helps organize the multiplication process by reminding you to multiply the first terms, the outer terms, the inner terms, and the last terms, making it easier to expand and simplify the product.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later