Question
Answer
$$z^3-4z^2+z(z-4)=z^3-3z^2-4z$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}z^3-4z^2+z(z-4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}z^3-4z^2+z^2-4z \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}z^3-3z^2-4z\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{z} $ by $ \left( z-4\right) $ $$ \color{blue}{z} \cdot \left( z-4\right) = z^2-4z $$ |
| ② | Combine like terms: $$ z^3 \color{blue}{-4z^2} + \color{blue}{z^2} -4z = z^3 \color{blue}{-3z^2} -4z $$ |
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