Simplify the following and express in the form a+i b : (2+3 i )(1… - Vidyadip

Question

Simplify the following and express in the form $a+i b$ : $(2+3 i )(1-4 i )$

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Answer

$(2+3 i)(1-4 i)=2-8 i+3 i-12 i^2$
$=2-5 i-12(-1) \ldots . .\left[\because i^2=-1\right]$
$=14-5 i$

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