Answer
$$8y^2+7y+10-(5y^2-8y-3)=3y^2+15y+13$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8y^2+7y+10-(5y^2-8y-3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8y^2+7y+10-5y^2+8y+3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3y^2+15y+13\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 5y^2-8y-3 \right) = -5y^2+8y+3 $$ |
| ② | Combine like terms: $$ \color{blue}{8y^2} + \color{red}{7y} + \color{green}{10} \color{blue}{-5y^2} + \color{red}{8y} + \color{green}{3} = \color{blue}{3y^2} + \color{red}{15y} + \color{green}{13} $$ |
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