Answer
$-12-9i$
Work Step by Step
Use distributive property.
$3i(-3+4i)=3i\cdot (-3)+3i\cdot 4i$
Simplify.
$=-9i+12i^2$
Use $i^2=-1$.
$=-9i+12(-1)$
Simplify.
$=-9i-12$
$=-12-9i$
Hence, the solution in the standard form is $-12-9i$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Appendix A - Review - A.7 Complex Numbers; Quadratic Equations in the Complex Number System - A.7 Assess Your Understanding - Page A60: 20
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