Answer
$$7y^2-2y-2-(5y^2+2)=2y^2-2y-4$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7y^2-2y-2-(5y^2+2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7y^2-2y-2-5y^2-2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2y^2-2y-4\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 5y^2+2 \right) = -5y^2-2 $$ |
| ② | Combine like terms: $$ \color{blue}{7y^2} -2y \color{red}{-2} \color{blue}{-5y^2} \color{red}{-2} = \color{blue}{2y^2} -2y \color{red}{-4} $$ |
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