\begin{tabular}{l} Simplify. $$ \left(-5 x^{2}+x-6 ight)+\left(5 x^{2}+2 x ight) $$ \ $$ \square $$ \ \hline$$ \square $$\end{tabular}

Question

\begin{tabular}{l} Simplify. $$ \left(-5 x^{2}+x-6ight)+\left(5 x^{2}+2 xight) $$ \ $$ \square $$ \ \hline$$ \square $$\end{tabular}

UpStudy AI · Accepted Answer

1. Write the original expression:  
   $$
   (-5x^2 + x - 6) + (5x^2 + 2x)
   $$

2. Remove the parentheses:  
   $$
   -5x^2 + x - 6 + 5x^2 + 2x
   $$

3. Combine like terms:  
   - For the $$x^2$$ terms:  
     $$
     -5x^2 + 5x^2 = 0
     $$  
   - For the $$x$$ terms:  
     $$
     x + 2x = 3x
     $$  
   - The constant term remains:  
     $$
     -6
     $$

4. Write the simplified expression:  
   $$
   3x - 6
   $$
The simplified expression is $$ 3x - 6 $$.

Simplify.

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