Question
Answer
$$15x(x+2x^2-7x^4)=-105x^5+30x^3+15x^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}15x(x+2x^2-7x^4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}15x^2+30x^3-105x^5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-105x^5+30x^3+15x^2\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{15x} $ by $ \left( x+2x^2-7x^4\right) $ $$ \color{blue}{15x} \cdot \left( x+2x^2-7x^4\right) = 15x^2+30x^3-105x^5 $$ |
| ② | Combine like terms: $$ -105x^5+30x^3+15x^2 = -105x^5+30x^3+15x^2 $$ |
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