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