Question
Simplify 13 over the quantity of negative 3 plus 2i.
Asked by: USER6943
52 Viewed
52 Answers
Answer (52)
13
−
3
+
2
i
Multiply by
−
3
−
2
i
−
3
−
2
i
to make the denominator of
13
−
3
+
2
i
real.
13
−
3
+
2
i
−
3
−
2
i
−
3
−
2
i
Combine.
13
(
−
3
−
2
i
)
(
−
3
+
2
i
)
(
−
3
−
2
i
)
Expand
(
−
3
+
2
i
)
(
−
3
−
2
i
)
using the FOIL Method.
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13
(
−
3
−
2
i
)
−
3
⋅
−
3
−
3
(
−
2
i
)
+
2
i
⋅
−
3
+
2
i
(
−
2
i
)
Simplify.
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13
(
−
3
−
2
i
)
9
−
4
i
2
Simplify each term.
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13
(
−
3
−
2
i
)
9
+
4
Reduce the expression by cancelling the common factors.
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−
3
−
2
i