Question
Answer
$$-8\cdot(4-3i)=24i-32$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-8\cdot(4-3i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(32-24i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-32+24i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}24i-32\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{8} $ by $ \left( 4-3i\right) $ $$ \color{blue}{8} \cdot \left( 4-3i\right) = 32-24i $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(32-24i \right) = -32+24i $$ |
| ③ | Combine like terms: $$ 24i-32 = 24i-32 $$ |
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