## 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