Breaking It Down: Expanding and Simplifying Expressions скачать в хорошем качестве

Breaking It Down: Expanding and Simplifying Expressions

#Algebra #MathTutorial #ExpandAndSimplify #MathMadeEasy #LearnAlgebra #MathHelp #AlgebraBasics #DistributiveProperty #CombineLikeTerms #MathForBeginners #StudyMath #MathEducation #MathTips #MathPractice #MathTeacher Learn how to expand and simplify algebraic expressions step by step! In this video, we’ll cover: ✅ What “expand” means in algebra ✅ How to use the distributive property ✅ Combining like terms to simplify ✅ Examples and practice problems Perfect for students, teachers, and anyone learning algebra. 📌 Don’t forget to like, share, and subscribe for more math tutorials! Key topics covered include: Combining like terms for simplification: The video starts with examples of simplifying expressions by combining terms with the same variables and powers (0:15). Example 1: `5x - 6x + 22 - 23` simplifies to `-x - 1` (0:33-1:14). Example 2: `x + 6x + 3y + 4y` simplifies to `7x + 7y` (1:17-1:47). Example 3: `6xy - 2yx + 13x - 5x` simplifies to `4xy + 8x`, emphasizing that `xy` and `yx` are like terms (1:58-4:21). Example 4: Simplifying an expression with six terms by grouping `x`, `y`, and `z` terms (4:22-5:27). Adding pairs of expressions: The video demonstrates how to find the sum of two algebraic expressions by combining their like terms. Example 1: Adding `2x + 4y` and `-5y` results in `2x - y` (5:28-5:59). Rules for writing terms in algebra: The instructor explains the standard practice of writing the numerical coefficient first, followed by variables in alphabetical order (6:00-7:34). Example: `7yx` should preferably be written as `7xy` (6:36-6:40). Expanding expressions: The video moves on to expanding expressions, which involves using the distributive property. Expanding expressions with a negative sign outside the parenthesis, changing the signs of the terms inside (10:30-11:13). Expanding expressions with a number outside the parenthesis (11:13-11:38). Expanding expressions with a negative number outside the parenthesis, requiring both multiplication and sign flipping (11:40-13:08). Expanding expressions with multiple variables (13:10-15:06). Expanding and simplifying combined: The video concludes with examples that involve both expanding and then simplifying the resulting expressions by combining like terms (15:10-18:40).