Carson Elementary And Intermediate Algebra 3e Page 2

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Carson Elementary and Intermediate Algebra 3e
Section 7.2
2
2
7
mn
16
mz
Example 1:
2
2
8
m
n
49
n
z
2
2
7
mn
16
mz
Are these factors or terms?
2
2
8
m
n
49
n
z
7
m
n
n
2
2
2
2
m
z
z
Because they are factors, common factors will
reduce to 1. The rules of exponents can also be
2
2
2
m
m
n
7
7
n
n
z
used.
z 2
Because a negative times a negative is a positive,
the answer is positive.
7
n
9
3
a
6
Example 2:
2
a
4
15
9
3
a
6
Are these factors or terms?
2
a
4
15
3
3
3
a
2
Factor. Common factors will reduce to 1.
2
a
2
3
5
9
10
2
2
m
5
m
m
4
m
Example 3:
2
2
m
16
m
25
2
2
m
5
m
m
4
m
Are these factors or terms?
2
2
m
16
m
25
m
m
5
m
m
4
Factor. Common factors will reduce to 1.


m
4
m
4
m
5
m
5
2
m

m
4
m
5
2. Divide rational expressions.
In arithmetic, the algorithm for dividing fractions is leave the first fraction the way it is, change divide to
times, write the reciprocal of the second fraction (flip it) and then multiply using the rules we just
discussed. Again, the process is the same with rational expressions.
2
2
q
2
q
q
4
5
q
3
q
6
Rewrite the problem.
2
q
2
q
3
q
6
2
5
q
q
4
V. Zabrocki 2011
page 2

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