Tap the blue circles to see an explanation.
$$ \begin{aligned}10(3t^2+2t^4)-5(t^3+2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}30t^2+20t^4-(5t^3+10) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}30t^2+20t^4-5t^3-10 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}20t^4-5t^3+30t^2-10\end{aligned} $$ | |
① | Multiply $ \color{blue}{10} $ by $ \left( 3t^2+2t^4\right) $ $$ \color{blue}{10} \cdot \left( 3t^2+2t^4\right) = 30t^2+20t^4 $$Multiply $ \color{blue}{5} $ by $ \left( t^3+2\right) $ $$ \color{blue}{5} \cdot \left( t^3+2\right) = 5t^3+10 $$ |
② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 5t^3+10 \right) = -5t^3-10 $$ |
③ | Combine like terms: $$ 20t^4-5t^3+30t^2-10 = 20t^4-5t^3+30t^2-10 $$ |