Question
Answer
$$\dfrac{100}{(iw)^2(iw+10)}=\dfrac{100}{i^3w^3+10i^2w^2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{100}{(iw)^2(iw+10)}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{100}{i^2w^2(iw+10)} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{100}{i^3w^3+10i^2w^2}\end{aligned} $$ | |
| ① | $$ \left( iw \right)^2 = 1^2i^2w^2 = i^2w^2 $$ |
| ② | Multiply $ \color{blue}{i^2w^2} $ by $ \left( iw+10\right) $ $$ \color{blue}{i^2w^2} \cdot \left( iw+10\right) = i^3w^3+10i^2w^2 $$ |
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