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