Question
Answer
$$2\cdot(1-5i)+3-7i=-17i+5$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2\cdot(1-5i)+3-7i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2-10i+3-7i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-17i+5\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{2} $ by $ \left( 1-5i\right) $ $$ \color{blue}{2} \cdot \left( 1-5i\right) = 2-10i $$ |
| ② | Combine like terms: $$ \color{blue}{2} \color{red}{-10i} + \color{blue}{3} \color{red}{-7i} = \color{red}{-17i} + \color{blue}{5} $$ |
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