Answer
$$8x^4+9x^2-9-(8x^3+3x^2-7)=8x^4-8x^3+6x^2-2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8x^4+9x^2-9-(8x^3+3x^2-7)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8x^4+9x^2-9-8x^3-3x^2+7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}8x^4-8x^3+6x^2-2\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 8x^3+3x^2-7 \right) = -8x^3-3x^2+7 $$ |
| ② | Combine like terms: $$ 8x^4+ \color{blue}{9x^2} \color{red}{-9} -8x^3 \color{blue}{-3x^2} + \color{red}{7} = 8x^4-8x^3+ \color{blue}{6x^2} \color{red}{-2} $$ |
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