Answer
$$(x+3i)(-x)^2=3ix^2+x^3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(x+3i)(-x)^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(x+3i)\cdot1x^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}x^3+3ix^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}3ix^2+x^3\end{aligned} $$ | |
| ① | $$ \left( -x \right)^2 = (-1)^2x^2 = x^2 $$ |
| ② | $$ \left( \color{blue}{x+3i}\right) \cdot x^2 = x^3+3ix^2 $$ |
| ③ | Combine like terms: $$ 3ix^2+x^3 = 3ix^2+x^3 $$ |
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