In these lessons, we will learn how to multiply and divide algebraic expressions.

Related Topics: More Algebra Lessons

### Multiplying Algebraic Expressions

**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

**How to divide algebraic terms or variables?**

**How to divide Algebraic Expressions?**

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.

You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Related Topics: More Algebra Lessons

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

* Example*

Evaluate 3*pq*^{3}*×* 4*qr *

* Solution:*

3*pq*^{3}*×* 4*qr
*= 3

*Example : *

Evaluate –2*a*^{3}*b**× *3*ab*^{2}*c *

* Solution:*

–2*a*^{3}*b**× *3*ab*^{2}*c
*= –2

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.

**Step 1:**Factorize the algebraic expressions.

**Step 2**: Cancel factors in the numerator and denominator where possible.

* Example*

Evaluate 6*pq*^{3} ÷ 3*pq*

* Solution: *

* Example*

Evaluate –8*a ^{3}bc* ÷ 2

* Solution: *

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

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You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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