Question
Answer
$$17+15-(-10i+17)=10i+15$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}17+15-(-10i+17)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}32-(-10i+17) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}32+10i-17 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}10i+15\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{17} + \color{blue}{15} = \color{blue}{32} $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( -10i+17 \right) = 10i-17 $$ |
| ③ | Combine like terms: $$ \color{blue}{32} +10i \color{blue}{-17} = 10i+ \color{blue}{15} $$ |
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