Answer
$$5x^3+7x-8-(2x^2-8x+6)=5x^3-2x^2+15x-14$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5x^3+7x-8-(2x^2-8x+6)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5x^3+7x-8-2x^2+8x-6 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5x^3-2x^2+15x-14\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2x^2-8x+6 \right) = -2x^2+8x-6 $$ |
| ② | Combine like terms: $$ 5x^3+ \color{blue}{7x} \color{red}{-8} -2x^2+ \color{blue}{8x} \color{red}{-6} = 5x^3-2x^2+ \color{blue}{15x} \color{red}{-14} $$ |
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