Question
Answer
$$-10\cdot(4+4i)=-40i-40$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-10\cdot(4+4i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(40+40i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-40-40i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-40i-40\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{10} $ by $ \left( 4+4i\right) $ $$ \color{blue}{10} \cdot \left( 4+4i\right) = 40+40i $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(40+40i \right) = -40-40i $$ |
| ③ | Combine like terms: $$ -40i-40 = -40i-40 $$ |
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