Multiplying Algebraic Expressions

 

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

Example

Evaluate 7pq3× 2qr

Solution

7pq3× 2qr
= 7 × p × q × q × q × 2 × q × r 
= 7 × 2 × p × q × q × q × q × r
= 14 × p × q4 × r 
= 14pq4r

Example

Evaluate –4a3b× 6ab2c

Solution

–4a3b× 6ab2c
= –4 × 6× a3× a × b × b2× c 
= –24× a4× b3× c 
= –24a4b3

Dividing Algebraic Expressions

We can divide an algebraic term by another algebraic term to get the quotient.

How to divide algebraic terms or variables?

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.

How to divide Algebraic Expressions?

Step 1: Factorize the algebraic expressions.
Step 2: Cancel factors in the numerator and denominator where possible.

Example 

Evaluate 10pq3 ÷ 5pq

Solution