Question
Answer
$$3x+7x^2-6-(5x^2+x+9)=2x^2+2x-15$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3x+7x^2-6-(5x^2+x+9)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3x+7x^2-6-5x^2-x-9 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2x^2+2x-15\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 5x^2+x+9 \right) = -5x^2-x-9 $$ |
| ② | Combine like terms: $$ \color{blue}{3x} + \color{red}{7x^2} \color{green}{-6} \color{red}{-5x^2} \color{blue}{-x} \color{green}{-9} = \color{red}{2x^2} + \color{blue}{2x} \color{green}{-15} $$ |
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