Multiplying and Dividing Algebraic Expressions

Mutiplying 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.

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.

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