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