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

Example

Evaluate 7pq^{3}× 2qr

Solution

7pq^{3}× 2qr
= 7 × p × q × q × q × 2 × q × r
= 7 × 2 × p × q × q × q × q × r
= 14 × p × q^{4} × r
= 14pq^{4}r

Example

Evaluate –4a^{3}b× 6ab^{2}c

Solution

–4a^{3}b× 6ab^{2}c
= –4 × 6× a^{3}× a × b × b^{2}× c
= –24× a^{4}× b^{3}× c
= –24a^{4}b^{3}c

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.