Answer
$-179+53i$
Work Step by Step
$(1-9i)(1-4i)(4-3i)\qquad$ ...apply the FOIL method to multiply $(1-9i)(1-4i)$
$=(1-4i-9i+36i^{2})(4-3i)\qquad$ ...simplify ($i^{2}=-1$).
$=(-35-13i)(4-3i)\qquad$ ...apply the FOIL method.
$=-140+105i-52i+39i^{2}\qquad$ ...simplify ($i^{2}=-1$).
$=-179+53i$
