Multiplying Rational Expressions
Multiplying rational expressions is like multiplying fractions.
Procedure â€”
To Multiply Rational Expressions
Step 1 Factor the numerators and denominators.
Step 2 Cancel all pairs of factors common to the numerators and
denominators.
Step 3 Multiply the numerators. Multiply the denominators.
Note:
Hereâ€™s an example from arithmetic:
Multiply
and write the answer in
lowest terms:
Step 1 Factor the numerators and
denominators. 

Step 2 Cancel all pairs of factors common
to the numerators and
denominators.


Step 3 Multiply the numerators.
Multiply the denominators. 

Thus,
Example 1
Find:
Solution 

Step 1 Factor the numerators and
denominators.


Step 2 Cancel all pairs of factors
common to the numerators
and denominators.


Step 3 Multiply the numerators.
Multiply the denominators. 

Thus,
Notice that
is in lowest terms.
Example 2
Find:
Solution 

Step 1 Factor the numerators and
denominators.


Step 2 Cancel all pairs of factors
common to the numerators
and denominators.


Step 3 Multiply the numerators.
Multiply the denominators. 

Thus,
