Question
Answer
$$(4-6i)\cdot(5-7i)=42i^2-58i+20$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(4-6i)\cdot(5-7i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}20-28i-30i+42i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}42i^2-58i+20\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{4-6i}\right) $ by each term in $ \left( 5-7i\right) $. $$ \left( \color{blue}{4-6i}\right) \cdot \left( 5-7i\right) = 20-28i-30i+42i^2 $$ |
| ② | Combine like terms: $$ 20 \color{blue}{-28i} \color{blue}{-30i} +42i^2 = 42i^2 \color{blue}{-58i} +20 $$ |
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