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How do you multiply and divide algebraic expressions?

To find the product of algebraic expressions with one term, LEARNING
gather all the same variables, and then multiply the number STANDARDS
with number and the variable with variable. Multiply and divide
algebraic expressions
with one term.
11

3
Simplify 3ab × 4a b.
2

3
2
3ab × 4a b = 3 × a × b × b × 4 × a × a × a × b Write as the product of factors.
= 3 × 4 × a × a × a × a × b × b × b Gather the numbers and
the same variables.
CHAPTER
5 = 12a b
4 3
The quotient of algebraic expressions with one term can be obtained by eliminating the
common factors.

12

2 3
Simplify 20m n ÷ 5m n .
4 2

20m n
4 2
20m n ÷ 5m n = Write in fraction form. By using a cube with
4 2
2 3
5m n sides of x cm, discuss
2 3
4 how you would show
20 × m × m × m × m × n × n
3
= the quotient for x ÷ x
5 × m × m × n × n × n and x ÷ x .
3
2
1 Simplify.
4m 2
=
n
13
3
Simplify 21xy × 6x ÷ 14y z.

3 3
21 × x × y × 6 × x
21xy × 6x ÷ 14y z =
3
14 × y × y × y × z
2
1
9x 2
=
y z
2

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Chapter 5

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