Question
Answer
$$(5-6i)\cdot(7-4i)=24i^2-62i+35$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5-6i)\cdot(7-4i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}35-20i-42i+24i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}24i^2-62i+35\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5-6i}\right) $ by each term in $ \left( 7-4i\right) $. $$ \left( \color{blue}{5-6i}\right) \cdot \left( 7-4i\right) = 35-20i-42i+24i^2 $$ |
| ② | Combine like terms: $$ 35 \color{blue}{-20i} \color{blue}{-42i} +24i^2 = 24i^2 \color{blue}{-62i} +35 $$ |
This page was created using
Complex Expression calculator