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