Question
Answer
$$-(x^3+y^3+z^3)^2=-x^6-2x^3y^3-2x^3z^3-y^6-2y^3z^3-z^6$$
Explanation
| $$ \begin{aligned}-(x^3+y^3+z^3)^2& \xlongequal{ }-(x^6+2x^3y^3+2x^3z^3+y^6+2y^3z^3+z^6) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-x^6-2x^3y^3-2x^3z^3-y^6-2y^3z^3-z^6\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left(x^6+2x^3y^3+2x^3z^3+y^6+2y^3z^3+z^6 \right) = -x^6-2x^3y^3-2x^3z^3-y^6-2y^3z^3-z^6 $$ |
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