Question
Answer
$$x^4+6x^2+10x+9-(-x^5+3x^3+11x+5)=x^5+x^4-3x^3+6x^2-x+4$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}x^4+6x^2+10x+9-(-x^5+3x^3+11x+5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}x^4+6x^2+10x+9+x^5-3x^3-11x-5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}x^5+x^4-3x^3+6x^2-x+4\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -x^5+3x^3+11x+5 \right) = x^5-3x^3-11x-5 $$ |
| ② | Combine like terms: $$ x^4+6x^2+ \color{blue}{10x} + \color{red}{9} +x^5-3x^3 \color{blue}{-11x} \color{red}{-5} = x^5+x^4-3x^3+6x^2 \color{blue}{-x} + \color{red}{4} $$ |
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