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Algebraic Expression
The document provides an overview of algebraic expressions, defining terms such as coefficients, variables, and constants, and categorizing expressions into monomials, binomials, and polynomials. It explains operations on algebraic expressions, including addition, subtraction, multiplication, and division, with examples and practice exercises. Additionally, it covers the multiplication of binomials using the distributive property and provides various worked examples and exercises for practice.
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David Kwabla Deynu presents an overview of algebraic expressions, highlighting their significance in mathematics.
Defines algebraic expressions as combinations of variables and constants without an equals sign.
Discusses terms, coefficients, variables, and constants with examples from expressions like 2x + 3y - 7.
Provides examples distinguishing between algebraic expressions, numerical expressions, and equations.
Covers monomials, binomials, and polynomials with examples, inviting participants to create examples.
Explains how to simplify algebraic expressions using mathematical operations.
Describes the process of adding and subtracting like terms through collecting and grouping.
Three examples showing the simplification of algebraic expressions by combining like terms.
Offers practice examples for learners to simplify various algebraic expressions.
Introduces laws of indices for simplifying expressions through multiplication and division.
Demonstrates simplification of expressions through multiplication in three worked examples.
Provides practice exercises for students to apply multiplication of algebraic expressions.
Explains how to use the distributive property to multiply two binomials.
Discusses special cases like the difference of squares and perfect squares.
Presents three worked examples of multiplying binomials, including simplification.
Shows expansion and simplification of expressions involving binomials and squares.
Provides various exercises for learners to expand and simplify algebraic expressions.