Perform the indicated operations:
$(5 + 3 i) (3 - 2 i)$

21 - 2 i

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19 - 3 i

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11 - 2 i

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21 - i

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Solution

The correct option is D $21 - i$
The value of $(5 + 3 i) (3 - 2 i)$
$= 5 (3 - 2 i) + 3 i (3 - 2 i)$
$= 15 - 10 i + 9 i - 6 i^{2}$
$= 21 - i$

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