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