Answer
$1-4i$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To simplify the given expression, $
[(7+2i)+(-4-i)]-(2+5i)
,$ remove the grouping symbols first. Then combine the real numbers and combine the imaginary numbers
$\bf{\text{Solution Details:}}$
Removing the grouping symbols, the expression above is equivalent to
\begin{array}{l}\require{cancel}
[7+2i-4-i]-(2+5i)
\\\\=
7+2i-4-i-2-5i
.\end{array}
Combining the real numbers and combining the imaginary numbers result to
\begin{array}{l}\require{cancel}
(7-4-2)+(2i-i-5i)
\\\\=
1-4i
.\end{array}
