Question
Answer
$$5x^3(x-3i)=-15ix^3+5x^4$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5x^3(x-3i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5x^4-15ix^3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-15ix^3+5x^4\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{5x^3} $ by $ \left( x-3i\right) $ $$ \color{blue}{5x^3} \cdot \left( x-3i\right) = 5x^4-15ix^3 $$ |
| ② | Combine like terms: $$ -15ix^3+5x^4 = -15ix^3+5x^4 $$ |
This page was created using
Complex Expression calculator