Page 1 - LN-Multiplication in Algebra

SAI International School
Class VIII

Mathematics
Chapter 9- Algebraic expressions
Lesson note -3

Subtopic: Multiplication of Algebraic expressions

SUBTOPICS: Multiplication of algebraic expression

Multiplication of Algebraic Expressions

While multiplying we need to take care of some points about the multiplication of like
and unlike terms.

1. Multiplication of Like Terms

 The coefficients will get multiplied.

 The power will not get multiplied but the resultant variable will be the addition of the
individual powers.

Example
2
 The product of 4x and 3x will be 12x .
3
 The product of 5x, 3x and 4x will be 60x .
2. Multiplication of Unlike Terms
 The coefficients will get multiplied.

 The power will remain the same if the variable is different.

 If some of the variables are the same then their powers will be added.

Multiplying a Monomial by a Monomial
1. Multiplying Two Monomials
While multiplying two polynomials the resultant variable will come by

 The coefficient of product = Coefficient of the first monomial × Coefficient of the
second monomial

 The algebraic factor of product = Algebraic factor of the first monomial × Algebraic
factor of the second monomial.

Example
25y × 3xy = 125xy 2