Question
Answer
$$-7x^2+3x-2-(5x^2+4x+1)=-12x^2-x-3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-7x^2+3x-2-(5x^2+4x+1)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-7x^2+3x-2-5x^2-4x-1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-12x^2-x-3\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 5x^2+4x+1 \right) = -5x^2-4x-1 $$ |
| ② | Combine like terms: $$ \color{blue}{-7x^2} + \color{red}{3x} \color{green}{-2} \color{blue}{-5x^2} \color{red}{-4x} \color{green}{-1} = \color{blue}{-12x^2} \color{red}{-x} \color{green}{-3} $$ |
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