Answer
$$\frac{5i}{2+i}=2i+1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{5i}{2+i}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}1+2i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2i+1\end{aligned} $$ | |
| ① | Divide $ \, 5i \, $ by $ \, 2+i \, $ to get $\,\, 1+2i $. ( view steps ) |
| ② | Combine like terms: $$ 2i+1 = 2i+1 $$ |
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