Carson Elementary And Intermediate Algebra 3e Page 3
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4M098
Carson Elementary and Intermediate Algebra 3e
Section 7.2
Factor and then reduce common factors.
q
q
2
3
q
2
5
q
q
2
q
2
3
q
5
q
2
4
21
c
8
c
Example 4:
3
4
7
d
12
d
2
4
21
c
12
d
Rewrite as a multiplication problem. Are these factors or
terms?
3
4
7
d
8
c
9
d
Reduce
2
c 2
2
2
3
w
7
w
6
9
w
4
Example 5:
2
2
w
9
3
w
7
w
6
2
2
3
w
7
w
6
3
w
7
w
6
Rewrite as a multiplication problem. Are these
2
2
w
9
9
w
4
factors or terms?
3
w
2
w
3
3
w
2
w
3
Factor and reduce. All factors reduce to 1.
w
3
w
3
3
w
2
3
w
2
1
2
y
y
20
5
y
Example 6:
2
y
3
y
2
y
24
2
y
y
20
y
3
Rewrite as a multiplication problem. Are these factors or
2
5
y
y
2
y
24
terms?
y
5
y
4
y
3
(y – 5) and (5 – y) are inverses so factor out -1.
y
6
y
4
5
y
y
5
y
4
y
3
Reduce
y
6
y
4
1
y
5
y
3
It is common practice to remove the negative from the
1
y
6
denominator.
y
3
y
3
Remember to distribute the negative to all terms in the
or
numerator.
y
6
y
6
V. Zabrocki 2011
page 3
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