Question
Answer
$$6\cdot\dfrac{i}{2-6i}=\dfrac{6i-18}{20}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6 \cdot \frac{i}{2-6i}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6 \cdot \frac{-3+i}{20} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{6i-18}{20}\end{aligned} $$ | |
| ① | Divide $ \, i \, $ by $ \, 2-6i \, $ to get $\,\, \dfrac{-3+i}{20} $. ( view steps ) |
| ② | Multiply $6$ by $ \dfrac{-3+i}{20} $ to get $ \dfrac{6i-18}{20} $. Step 1: Write $ 6 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 6 \cdot \frac{-3+i}{20} & \xlongequal{\text{Step 1}} \frac{6}{\color{red}{1}} \cdot \frac{-3+i}{20} \xlongequal{\text{Step 2}} \frac{ 6 \cdot \left( -3+i \right) }{ 1 \cdot 20 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ -18+6i }{ 20 } = \frac{6i-18}{20} \end{aligned} $$ |
This page was created using
Complex Expression calculator