Question
Answer
$$(-6i-2)\cdot(-6-6i)=36i^2+48i+12$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(-6i-2)\cdot(-6-6i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}36i+36i^2+12+12i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}36i^2+48i+12\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{-6i-2}\right) $ by each term in $ \left( -6-6i\right) $. $$ \left( \color{blue}{-6i-2}\right) \cdot \left( -6-6i\right) = 36i+36i^2+12+12i $$ |
| ② | Combine like terms: $$ \color{blue}{36i} +36i^2+12+ \color{blue}{12i} = 36i^2+ \color{blue}{48i} +12 $$ |
This page was created using
Complex Expression calculator