Question
Answer
$$-4.4+7.5i-(-9.4-1.8i)-(-5.2-7.6i)=15i+10$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-4.4+7.5i-(-9.4-1.8i)-(-5.2-7.6i)& \xlongequal{ }-4.4+7i-(-9.4-i)-(-5.2-7i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-4+7i+9+i-(-5.2-7i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}8i+5-(-5.2-7i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}8i+5+5+7i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}15i+10\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -9-i \right) = 9+i $$ |
| ② | Combine like terms: $$ \color{blue}{-4} + \color{red}{7i} + \color{blue}{9} + \color{red}{i} = \color{red}{8i} + \color{blue}{5} $$ |
| ③ | Remove the parentheses by changing the sign of each term within them. $$ - \left( -5-7i \right) = 5+7i $$ |
| ④ | Combine like terms: $$ \color{blue}{8i} + \color{red}{5} + \color{red}{5} + \color{blue}{7i} = \color{blue}{15i} + \color{red}{10} $$ |
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