Algebraic Expressions
- 1. MATHEMATICS What is it? History Types Factors Significance Example Adding and Subtracting Algebraic Expressions
- 4. Algebraic expressions are the idea of expressing num bers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. WHAT IS IT
- 5. These letters are called here as variables. An algebraic expression can be a com bination of both variables and constants. Any value that is placed before and m ultiplied by a variable is a coefficient. WHAT IS IT
- 6. HISTORY
- 7. HISTORY Muhammad ibn Musa al- Khwarizmi was a Persian mathematician who wrote a book named Kitab Al Muhtasar fi Hisab Al Gabr Wa I Muqabala
- 8. HISTORY In the Arabic language and when translated into English it says " The Compendious Book on Calculation by Completion and Balancing"
- 9. from which the word ALGEBRA was derived. The book provides a systematic solution for linear and quadratic equations.
- 11. MONOMIAL EXPRESSIONS An algebraic expression which is having only one term is known as a monomial. Examples of monomial expressions include 3x4, 3xy, 3x, 8y, etc.
- 12. BINOMIAL EXPRESSIONS A binomial expression is an algebraic expression which is having two terms, which are unlike. Examples of binomial include 5xy + 8, xyz + x3, etc.
- 13. In general, an expression with more than one term with non-negative integral exponents of a variable is known as a polynomial. Examples of polynomial expression include ax + by + ca, x3 + 2x + 3, etc. POLYNOMIAL EXPRESSIONS
- 14. SIGNIFICANCE
- 15. SIGNIFICANCE Algebraic expressions are used in solving different and complex equations in mathematics. Algebraic expressions can be seen in computer programming, for example, they are used for tasks of inference. Algebraic expressions are used in economics to find out the revenue, cost, etc.
- 16. EXAMPLE
- 17. In example to what and how to solve algebraic expressions
- 18. FACTORS
- 19. FACTORING ALGEBRAIC EXPRESSIONS A factor in an expression is something that is multiplied by something else. It can be a number, variable, term or any other longer expression. For example, the factors of 2xy are 2, x and y. For example if 3xy is a term, then its factors are 3, x and y.
- 21. ADDING AND SUBTRACTING ALGEBRAIC EXPRESSIONS We can add and subtract like terms easily. Example: Add 3x + 5y – 6z and x – 4y + 2z. By adding both the expressions we get; (3x + 5y – 6z) + (x – 4y + 2z)
- 22. ADDING AND SUBTRACTING ALGEBRAIC EXPRESSIONS Separating the like terms and adding them together: (3x + x) + (5y – 4y) + (-6z + 2z) 4x + y – 4z