Question
Answer
$$5z^3\cdot(2-7z^4)=-35z^7+10z^3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5z^3\cdot(2-7z^4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}10z^3-35z^7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-35z^7+10z^3\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{5z^3} $ by $ \left( 2-7z^4\right) $ $$ \color{blue}{5z^3} \cdot \left( 2-7z^4\right) = 10z^3-35z^7 $$ |
| ② | Combine like terms: $$ -35z^7+10z^3 = -35z^7+10z^3 $$ |
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