Algebraic Expressions and Terms
Algebraic expressions, coefficients, like and unlike terms, and addition/subtraction of algebraic expressions. Learn how to identify like terms, combine them, and perform operations on algebraic expressions effectively.
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CLASS 8 MATHEMATICS MODULE 01
ALGERAIC EXPRESSIONS AND THEIR TERMS , COEFFICIENTS , LIKE AND UNLIKE TERMS , ADDITION AND SUBTRACTION OF ALGEBRAIC EXPRESSION
Algebraic expression : Combination of constants and variables by using operations of addition , subtraction , multiplication and division is called algebraic expression.
Coefficients : A term can be written as product of factors , one of these factors may be numerical factor and other algebraic. Example : The term 4xy has numerical coefficient 4.
Like and unlike terms: In algebraic expressions the terms having same algebraic factors are called like terms. For example in expression 4x+3y+2x+9Y , 4x and 2x are like terms similarly 3y and 9y are also like terms. Like and unlike terms: In algebraic expressions the terms having same algebraic factors are called like terms. For example in expression 4x+3y+2x+9Y , 4x and 2x are like terms similarly 3y and 9y are also like terms. Similarly in algebraic expression terms having having different algebraic factor , they are called unlike terms. For example in expression 3xy+yz+xy+3yz , 3xy and yz are unlike terms similarly xy and 3yz are unlike terms.
Adding and subtraction of algebraic expressions The sum of two or more than two like terms is a like term with a numerical coefficient equal to the sum of the numerical coefficients of all the like term. Example : Adding 2x, 4x,5y we get 2x+4x+5y= 6x+5y. Similarly, the difference between two or more than two like terms is a like term with a numerical coefficients of the two like terms. Example : Subtract 8x from 20x we get 20x 8x=12x.
