$$\left. \begin{array} { l } { x ^ { 3 } + ( y + z ) ^ { 3 } } \\ { 1 - 1 } \end{array} \right.$$
$0$
$$\left(x+y+z\right)\left(x^{2}-x\left(y+z\right)+\left(y+z\right)^{2}\right)=\left(x+y+z\right)\left(x^{2}-xy-xz+y^{2}+2yz+z^{2}\right)$$
$$0$$
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$\left(x+y+z\right)\left(-x\left(y+z\right)+\left(y+z\right)^{2}+x^{2}\right),\ 0$