Question
Answer
$$5x^5+13x^4-11x^2+11-(4x^5+9x^4+9x^2-6)=x^5+4x^4-20x^2+17$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5x^5+13x^4-11x^2+11-(4x^5+9x^4+9x^2-6)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5x^5+13x^4-11x^2+11-4x^5-9x^4-9x^2+6 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}x^5+4x^4-20x^2+17\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 4x^5+9x^4+9x^2-6 \right) = -4x^5-9x^4-9x^2+6 $$ |
| ② | Combine like terms: $$ \color{blue}{5x^5} + \color{red}{13x^4} \color{green}{-11x^2} + \color{orange}{11} \color{blue}{-4x^5} \color{red}{-9x^4} \color{green}{-9x^2} + \color{orange}{6} = \\ = \color{blue}{x^5} + \color{red}{4x^4} \color{green}{-20x^2} + \color{orange}{17} $$ |
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