Back to Table of Contents

## Simplifying Expressions

Summary

The essence of simplifying algebraic expressions lies in understanding and applying the fundamental principles of combining like terms and manipulating parentheses.

- Combining like terms involves adding or subtracting coefficients of terms with the same variable part.
- The Distributive Law allows for the simplification of expressions by grouping like terms, which must have identical variable parts or differ only in coefficients.
- Multiplication is commutative, meaning the order of factors does not affect the product, allowing for the identification of like terms even when variables are in a different order.
- When simplifying expressions involving parentheses, if there is an addition sign before the parentheses, they can be removed without altering the terms inside.
- Subtracting an expression in parentheses requires changing each term inside to its opposite sign upon removal of the parentheses.

Chapters

00:02

Understanding Like Terms

00:43

The Distributive Law and Simplification

02:46

Commutativity in Multiplication

04:18

Simplifying Expressions Involving Parentheses