Question
Answer
$$6+17i-(2+17i)=4$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6+17i-(2+17i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6+17i-2-17i \xlongequal{ } \\[1 em] & \xlongequal{ }6+ \cancel{17i}-2 -\cancel{17i} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2+17i \right) = -2-17i $$ |
| ② | Combine like terms: $$ \color{blue}{6} + \, \color{red}{ \cancel{17i}} \, \color{blue}{-2} \, \color{red}{ -\cancel{17i}} \, = \color{blue}{4} $$ |
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