Question

Factories the following:
x^3 - y^3 + z^3 + 3xyz

Answer 1

\left[x _{1}\right] = \left[ \frac{\sqrt[3]{\left( \frac{27\,y^{3}}{2}+\frac{\left( -27\right) \,z^{3}}{2}+\frac{\sqrt{\left( 729\,y^{6}+2916\,yz^{3} - 1458\,y^{3}\,z^{3}+729\,z^{6}\right) }}{2}\right) }}{3}+\frac{\left( -3\right) \,\sqrt[3]{2}\,yz}{\sqrt[3]{\left( 27\,y^{3} - 27\,z^{3}+\sqrt{\left( 729\,y^{6}+2916\,yz^{3} - 1458\,y^{3}\,z^{3}+729\,z^{6}\right) }\right) }}\right][x​1​​]=​⎣​⎢​⎢​⎢​⎢​⎡​​​3​​​3​​√​(​2​​27y​3​​​​+​2​​(−27)z​3​​​​+​2​​√​(729y​6​​+2916yz​3​​−1458y​3​​z​3​​+729z​6​​)​​​​​)​​​​​+​​3​​√​(27y​3​​−27z​3​​+√​(729y​6​​+2916yz​3​​−1458y​3​​z​3​​+729z​6​​)​​​)​​​​​(−3)​3​​√​2​​​yz​​​⎦​⎥​⎥​⎥​⎥​⎤​​ totally answer