Answer
$10-5i$
Work Step by Step
Use FOIL method.
$(3-4i)(2+i)=3\cdot 2+3\cdot i -4i\cdot 2-4i\cdot i$
Simplify.
$=6+3i-8i-4i^2$
$=6-5i-4i^2$
Use $i^2=-1$.
$=6-5i-4(-1)$
Simplify.
$=6-5i+4$
$=10-5i$
Hence, the solution in the standard form is $10-5i$.
