Question
Answer
$$7x+7+5x^2-(2x^3-3)+3+5x^3+3x=3x^3+5x^2+10x+13$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7x+7+5x^2-(2x^3-3)+3+5x^3+3x& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7x+7+5x^2-2x^3+3+3+5x^3+3x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2x^3+5x^2+7x+10+3+5x^3+3x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}3x^3+5x^2+10x+13\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2x^3-3 \right) = -2x^3+3 $$ |
| ② | Combine like terms: $$ 7x+ \color{blue}{7} +5x^2-2x^3+ \color{blue}{3} = -2x^3+5x^2+7x+ \color{blue}{10} $$ |
| ③ | Combine like terms: $$ \color{blue}{-2x^3} +5x^2+ \color{red}{7x} + \color{green}{10} + \color{green}{3} + \color{blue}{5x^3} + \color{red}{3x} = \color{blue}{3x^3} +5x^2+ \color{red}{10x} + \color{green}{13} $$ |
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