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