Question
Answer
$$4t^3u(2t^2u^2-10tu^4+2)=-40t^4u^5+8t^5u^3+8t^3u$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4t^3u(2t^2u^2-10tu^4+2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8t^5u^3-40t^4u^5+8t^3u \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-40t^4u^5+8t^5u^3+8t^3u\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{4t^3u} $ by $ \left( 2t^2u^2-10tu^4+2\right) $ $$ \color{blue}{4t^3u} \cdot \left( 2t^2u^2-10tu^4+2\right) = 8t^5u^3-40t^4u^5+8t^3u $$ |
| ② | Combine like terms: $$ -40t^4u^5+8t^5u^3+8t^3u = -40t^4u^5+8t^5u^3+8t^3u $$ |
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