Chapter 1
Linear Equations and Graphing
Course: Gre
Subject: Gre Quantitative Reasoning
Chapter: Advanced Algebra And Systems Of Equations
Introduction: Multiple Paths to the Same Result
The previous lesson introduced binomial multiplication and several approaches. This lesson provides deeper exploration of each method with additional examples and addresses common pitfalls.
Understanding multiple methods allows students to choose the approach that best fits their learning style and the specific problem at hand.
Review: What Is a Binomial?
A binomial is an algebraic expression containing exactly two terms. The terms are connected by addition or subtraction.
Examples
- 9x + 2
- 398r - t
- e + 35
- y - 7x
The "bi" in binomial means "two."
Method 1: Distributive Property
The distributive property states that a(b + c) = ab + ac. When multiplying binomials, this property is applied twice.
Step-by-Step Process
- Distribute the first term of the first binomial to both terms of the second binomial
- Distribute the second term of the first binomial to both terms of the second binomial
- Combine like terms