Multiplying and Dividing Algebraic Expressions
In these lessons, we will learn how to multiply and divide algebraic expressions.
More Algebra Lessons
Multiplying Algebraic Expressions
We can multiply two algebraic terms to get a product, which is also an algebraic term.
Evaluate 3pq3× 4qr
= 3 × p × q × q × q × 4 × q × r
= 3 × 4 × p × q × q × q × q × r
= 12 × p × q4 × r
Evaluate –2a3b× 3ab2c
= –2 × 3× a3× a × b × b2× c
= –6× a4× b3× c
The following video shows how to multiply algebraic terms or variables.
How to multiply 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.
How to divide algebraic terms or variables?
Step 1: Write the division of the algebraic terms as a fraction.
How to divide Algebraic Expressions?
Step 2:Simplify the coefficient.
Step 3: Cancel variables of the same type in the numerator and denominator.
Step 1:Factorize the algebraic expressions.
Step 2: Cancel factors in the numerator and denominator where possible.
Evaluate 6pq3 ÷ 3pq
Evaluate –8a3bc ÷ 2ab
The following video shows how to divide algebraic terms or variables.
Multiplying & Dividing Algebraic Fractions
Algebra - Division of Algebraic Expressions - Solving Questions.
Algebra - Division of Algebraic Expressions - Practice Questions.
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