Carson Elementary And Intermediate Algebra 3e Page 3
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4M098
Carson Elementary and Intermediate Algebra 3e
Section 10.7
(5 – 2i) (4 + i)
Example 8:
2
20 + 5i – 8i – 2i
Foil
2
20 + 5i – 8i – 2(-1)
Replace i
with -1
20 + 5i – 8i + 2
22 – 3i
Combine like terms and write in standard a + bi form.
2
(5 – 3i)
Example 9:
(5 – 3i)(5 – 3i)
Rewrite and foil.
2
25 – 30i + 9i
2
25 – 30i + 9(-1)
Replace i
with -1
25 – 30i – 9
16 – 30i
Combine like terms and write in standard a + bi form.
6
Example 10:
i 7
Rationalize the denominator.
6
i
i 7
i
i 6
2
i 7
2
Replace i
with -1
i 6
7
1
Rewrite with the negative in front of the fraction or in the
i 6
i 6
i 6
numerator.
7
7
7
5
Example 11:
6
i
Rationalize the denominator.
5
6
i
6
i
6
i
30
i 5
2
36
i
2
Replace i
with -1
30
i 5
30
i 5
36
1
37
Rewrite in standard a + bi form.
30
5
i
37
37
V. Zabrocki 2011
page 3
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