Question
Answer
$$-(x+2)^2-6=-x^2-4x-10$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-(x+2)^2-6& \xlongequal{ }-(x^2+4x+4)-6 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-x^2-4x-4-6 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-x^2-4x-10\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left(x^2+4x+4 \right) = -x^2-4x-4 $$ |
| ② | Combine like terms: $$ -x^2-4x \color{blue}{-4} \color{blue}{-6} = -x^2-4x \color{blue}{-10} $$ |
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