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Multiplying and Dividing Algebraic Expressions



In this lesson, we will learn how to multiply and divide algebraic expressions.

Related Topics: More Algebra Lessons

Multiplying Algebraic Expressions

We can multiply two algebraic terms to get a product, which is also an algebraic term.

Example :

Evaluate 3pq3× 4qr

Solution:

3pq3× 4qr
= 3 × p × q × q × q × 4 × q × r
= 3 × 4 × p × q × q × q × q × r
= 12 × p × q4 × r
= 12pq4r


Example :

Evaluate –2a3b× 3ab2c

Solution:

–2a3b× 3ab2c
= –2 × 3× a3× a × b × b2× c
= –6× a4× b3× c
= –6a4b3c

The following video shows how to multiply algebraic terms or variables.



Multiplying expressions using the distributive law



Algebra - Multiplication of Algebraic Expressions - Solving Questions



Algebra - Multiplication of Algebraic Expressions - Solving Complex Questions




 



Dividing Algebraic Expressions

We can divide an algebraic term by another algebraic term to get the quotient. The steps below show how the division is carried out.

Step 1: Write the division of the algebraic terms as a fraction.
Step 2: Simplify the coefficient.
Step 3 : Cancel variables of the same type in the numerator and denominator.

Example :

Evaluate 6pq3 ÷ 3pq

Solution:

Example :

Evaluate –8a3bc ÷ 2ab

Solution:



The following video shows how to divide algebraic terms or variables.



Beginning Algebra & Multiplying & Dividing Algebraic Fractions



Algebra - Division of Algebraic Expressions - Solving Questions



Algebra - Division of Algebraic Expressions - Practice Questions




 



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