Answer
$$8+5i-(1-6i)-2+5i=16i+5$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8+5i-(1-6i)-2+5i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8+5i-1+6i-2+5i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}11i+7-2+5i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}16i+5\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 1-6i \right) = -1+6i $$ |
| ② | Combine like terms: $$ \color{blue}{8} + \color{red}{5i} \color{blue}{-1} + \color{red}{6i} = \color{red}{11i} + \color{blue}{7} $$ |
| ③ | Combine like terms: $$ \color{blue}{11i} + \color{red}{7} \color{red}{-2} + \color{blue}{5i} = \color{blue}{16i} + \color{red}{5} $$ |
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