Question
Answer
$$-2\cdot(4+4i)=-8i-8$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-2\cdot(4+4i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(8+8i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-8-8i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-8i-8\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{2} $ by $ \left( 4+4i\right) $ $$ \color{blue}{2} \cdot \left( 4+4i\right) = 8+8i $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(8+8i \right) = -8-8i $$ |
| ③ | Combine like terms: $$ -8i-8 = -8i-8 $$ |
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