Ta có:
\(x^3+x^2z-xyz+y^2z+y^3\)
\(=\left(x^3+y^3\right)+\left(x^2z-xyz+y^2z\right)\)
\(=\left(x+y\right)\left(x^2-xy+y^2\right)+z\left(x^2-xy+y^2\right)\)
\(=\left(x+y+z\right)\left(x^2-xy+y^2\right)\)
\(=0\cdot\left(x^2-xy+y^2\right)\)
\(=0\left(dpcm\right)\)
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