Question
Answer
$$-3+8i-(1+8i)=-4$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-3+8i-(1+8i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-3+8i-1-8i \xlongequal{ } \\[1 em] & \xlongequal{ }-3+ \cancel{8i}-1 -\cancel{8i} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-4\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 1+8i \right) = -1-8i $$ |
| ② | Combine like terms: $$ \color{blue}{-3} + \, \color{red}{ \cancel{8i}} \, \color{blue}{-1} \, \color{red}{ -\cancel{8i}} \, = \color{blue}{-4} $$ |
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