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