Question
Answer
$$4\cdot(2-3i)-7+2i=-10i+1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4\cdot(2-3i)-7+2i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8-12i-7+2i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-10i+1\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{4} $ by $ \left( 2-3i\right) $ $$ \color{blue}{4} \cdot \left( 2-3i\right) = 8-12i $$ |
| ② | Combine like terms: $$ \color{blue}{8} \color{red}{-12i} \color{blue}{-7} + \color{red}{2i} = \color{red}{-10i} + \color{blue}{1} $$ |
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