Solution for Problem 1.5.1
Perform indicated operation. (3
-
i
)
2
Write in standard form.
a
+
bi
.
Solve
Step
(3
-
i
)
2
= (3
-
i
)(3
-
i
)
a
2
=
a
×
a
= 9
-
3
i
-
3
i
+
i
2
Use F O I L - First Outer Inner Last
= 9
-
6
i
+
(-1)
i
2
= -1
= 9
-
6
i
-
1
Collect like terms
= 8
-
6
i
standard form:
a
+
bi
.