Answer
$$3+3^2-5x-(5x^2+1+7x)=-5x^2-12x+11$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3+3^2-5x-(5x^2+1+7x)& \xlongequal{ }3+9-5x-(5x^2+1+7x) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-5x+12-(5x^2+1+7x) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-5x+12-5x^2-1-7x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-5x^2-12x+11\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{3} + \color{blue}{9} -5x = -5x+ \color{blue}{12} $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 5x^2+1+7x \right) = -5x^2-1-7x $$ |
| ③ | Combine like terms: $$ \color{blue}{-5x} + \color{red}{12} -5x^2 \color{red}{-1} \color{blue}{-7x} = -5x^2 \color{blue}{-12x} + \color{red}{11} $$ |
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