Question
Answer
$$7-6i-(-10+2i)=-8i+17$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7-6i-(-10+2i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7-6i+10-2i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-8i+17\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -10+2i \right) = 10-2i $$ |
| ② | Combine like terms: $$ \color{blue}{7} \color{red}{-6i} + \color{blue}{10} \color{red}{-2i} = \color{red}{-8i} + \color{blue}{17} $$ |
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