Question
Answer
$$9x^2-6x+2-(x^2+4x-39)=8x^2-10x+41$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}9x^2-6x+2-(x^2+4x-39)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}9x^2-6x+2-x^2-4x+39 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}8x^2-10x+41\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( x^2+4x-39 \right) = -x^2-4x+39 $$ |
| ② | Combine like terms: $$ \color{blue}{9x^2} \color{red}{-6x} + \color{green}{2} \color{blue}{-x^2} \color{red}{-4x} + \color{green}{39} = \color{blue}{8x^2} \color{red}{-10x} + \color{green}{41} $$ |
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