Question
Answer
$$2x+20-6x^2-(4-7x^2+12x)=x^2-10x+16$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2x+20-6x^2-(4-7x^2+12x)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2x+20-6x^2-4+7x^2-12x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}x^2-10x+16\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 4-7x^2+12x \right) = -4+7x^2-12x $$ |
| ② | Combine like terms: $$ \color{blue}{2x} + \color{red}{20} \color{green}{-6x^2} \color{red}{-4} + \color{green}{7x^2} \color{blue}{-12x} = \color{green}{x^2} \color{blue}{-10x} + \color{red}{16} $$ |
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