Tap the blue circles to see an explanation.
| $$ \begin{aligned}8x^3+4x+5x^4-(5x^3+5x^4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8x^3+4x+5x^4-5x^3-5x^4 \xlongequal{ } \\[1 em] & \xlongequal{ }8x^3+4x+ \cancel{5x^4}-5x^3 -\cancel{5x^4} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3x^3+4x\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 5x^3+5x^4 \right) = -5x^3-5x^4 $$ |
| ② | Combine like terms: $$ \color{blue}{8x^3} +4x+ \, \color{red}{ \cancel{5x^4}} \, \color{blue}{-5x^3} \, \color{red}{ -\cancel{5x^4}} \, = \color{blue}{3x^3} +4x $$ |