Answer
$$11z^2-6z+8-(6z^2+3z-9)=5z^2-9z+17$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}11z^2-6z+8-(6z^2+3z-9)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}11z^2-6z+8-6z^2-3z+9 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5z^2-9z+17\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 6z^2+3z-9 \right) = -6z^2-3z+9 $$ |
| ② | Combine like terms: $$ \color{blue}{11z^2} \color{red}{-6z} + \color{green}{8} \color{blue}{-6z^2} \color{red}{-3z} + \color{green}{9} = \color{blue}{5z^2} \color{red}{-9z} + \color{green}{17} $$ |
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