Question
Answer
$$(-6+7i)(7i-6)=49i^2-84i+36$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(-6+7i)(7i-6)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-42i+36+49i^2-42i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}49i^2-84i+36\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{-6+7i}\right) $ by each term in $ \left( 7i-6\right) $. $$ \left( \color{blue}{-6+7i}\right) \cdot \left( 7i-6\right) = -42i+36+49i^2-42i $$ |
| ② | Combine like terms: $$ \color{blue}{-42i} +36+49i^2 \color{blue}{-42i} = 49i^2 \color{blue}{-84i} +36 $$ |
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