Answer
$$7x+5x^3+5x^2-(7x^2-2x^3-4x)=7x^3-2x^2+11x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7x+5x^3+5x^2-(7x^2-2x^3-4x)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7x+5x^3+5x^2-7x^2+2x^3+4x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}7x^3-2x^2+11x\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 7x^2-2x^3-4x \right) = -7x^2+2x^3+4x $$ |
| ② | Combine like terms: $$ \color{blue}{7x} + \color{red}{5x^3} + \color{green}{5x^2} \color{green}{-7x^2} + \color{red}{2x^3} + \color{blue}{4x} = \color{red}{7x^3} \color{green}{-2x^2} + \color{blue}{11x} $$ |
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