Question
Answer
$$6x^4+4x^3+5x-(-2x^4+x^3-6x+6)=8x^4+3x^3+11x-6$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6x^4+4x^3+5x-(-2x^4+x^3-6x+6)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6x^4+4x^3+5x+2x^4-x^3+6x-6 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}8x^4+3x^3+11x-6\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -2x^4+x^3-6x+6 \right) = 2x^4-x^3+6x-6 $$ |
| ② | Combine like terms: $$ \color{blue}{6x^4} + \color{red}{4x^3} + \color{green}{5x} + \color{blue}{2x^4} \color{red}{-x^3} + \color{green}{6x} -6 = \color{blue}{8x^4} + \color{red}{3x^3} + \color{green}{11x} -6 $$ |
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