Question
Answer
$$8x^3-6x^4+3-(3x^3-3+8x^4)=-14x^4+5x^3+6$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8x^3-6x^4+3-(3x^3-3+8x^4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8x^3-6x^4+3-3x^3+3-8x^4 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-14x^4+5x^3+6\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3x^3-3+8x^4 \right) = -3x^3+3-8x^4 $$ |
| ② | Combine like terms: $$ \color{blue}{8x^3} \color{red}{-6x^4} + \color{green}{3} \color{blue}{-3x^3} + \color{green}{3} \color{red}{-8x^4} = \color{red}{-14x^4} + \color{blue}{5x^3} + \color{green}{6} $$ |
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