Question
Answer
$$14+16i-(-4i-18)-(5-16i)=36i+27$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}14+16i-(-4i-18)-(5-16i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}14+16i+4i+18-(5-16i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}20i+32-(5-16i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}20i+32-5+16i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}36i+27\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -4i-18 \right) = 4i+18 $$ |
| ② | Combine like terms: $$ \color{blue}{14} + \color{red}{16i} + \color{red}{4i} + \color{blue}{18} = \color{red}{20i} + \color{blue}{32} $$ |
| ③ | Remove the parentheses by changing the sign of each term within them. $$ - \left( 5-16i \right) = -5+16i $$ |
| ④ | Combine like terms: $$ \color{blue}{20i} + \color{red}{32} \color{red}{-5} + \color{blue}{16i} = \color{blue}{36i} + \color{red}{27} $$ |
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