Question
Answer
$$12i-6i-(7+3i)=3i-7$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}12i-6i-(7+3i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6i-(7+3i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}6i-7-3i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}3i-7\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{12i} \color{blue}{-6i} = \color{blue}{6i} $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 7+3i \right) = -7-3i $$ |
| ③ | Combine like terms: $$ \color{blue}{6i} -7 \color{blue}{-3i} = \color{blue}{3i} -7 $$ |
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