Question
Answer
$$5x^2+6x+9-(x^2-2x+8)=4x^2+8x+1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5x^2+6x+9-(x^2-2x+8)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5x^2+6x+9-x^2+2x-8 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4x^2+8x+1\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( x^2-2x+8 \right) = -x^2+2x-8 $$ |
| ② | Combine like terms: $$ \color{blue}{5x^2} + \color{red}{6x} + \color{green}{9} \color{blue}{-x^2} + \color{red}{2x} \color{green}{-8} = \color{blue}{4x^2} + \color{red}{8x} + \color{green}{1} $$ |
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