Question
Answer
$$7.6+2.9i-(6.1+9.4i)+2.9+6.1i=-i+3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7.6+2.9i-(6.1+9.4i)+2.9+6.1i& \xlongequal{ }7.6+2i-(6.1+9i)+2.9+6i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7+2i-6-9i+2.9+6i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-7i+1+2.9+6i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-i+3\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 6+9i \right) = -6-9i $$ |
| ② | Combine like terms: $$ \color{blue}{7} + \color{red}{2i} \color{blue}{-6} \color{red}{-9i} = \color{red}{-7i} + \color{blue}{1} $$ |
| ③ | Combine like terms: $$ \color{blue}{-7i} + \color{red}{1} + \color{red}{2} + \color{blue}{6i} = \color{blue}{-i} + \color{red}{3} $$ |
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