#### Answer

$15-40i$

#### Work Step by Step

$-5i\left( 3-i\right) ^{2}=-5i\left( 9-2\times 3\times i+i^{2}\right) =-5i\left( 9+3i+\left( -1\right) \right) =-5i\left( 8+3i\right) =-40i-15i^{2}=-40i-15\times \left( -1\right) =15-40i$

Published by
Pearson

ISBN 10:
013421742X

ISBN 13:
978-0-13421-742-0

$15-40i$

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