Question
Answer
$$(16.69-47.13i)150\cdot50i=120000i+352500$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(16.69-47.13i)150\cdot50i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(16.69-47.13i)\cdot7500i \xlongequal{ } \\[1 em] & \xlongequal{ }(16.69-47i)\cdot7500i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}120000i-352500i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}120000i+352500\end{aligned} $$ | |
| ① | $$ 150 \cdot 50 i = 7500 i $$ |
| ② | $$ \left( \color{blue}{16-47i}\right) \cdot 7500i = 120000i-352500i^2 $$ |
| ③ | $$ -352500i^2 = -352500 \cdot (-1) = 352500 $$ |
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