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https://socratic.org/questions/how-do-you-solve-the-system-x-y-z-3-3x-y-z-13-and-3x-y-2z-18

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Kopirano v odložišče

x^{2}+xy-xz+yx+y^{2}-yz+zx+zy-z^{2}

Uporabite distributivnost tako, da pomnožite vsako vrednost x+y+z z vsako vrednostjo x+y-z.

x^{2}+2xy-xz+y^{2}-yz+zx+zy-z^{2}

Združite xy in yx, da dobite 2xy.

x^{2}+2xy+y^{2}-yz+zy-z^{2}

Združite -xz in zx, da dobite 0.

x^{2}+2xy+y^{2}-z^{2}

Združite -yz in zy, da dobite 0.

x^{2}+xy-xz+yx+y^{2}-yz+zx+zy-z^{2}

Uporabite distributivnost tako, da pomnožite vsako vrednost x+y+z z vsako vrednostjo x+y-z.

x^{2}+2xy-xz+y^{2}-yz+zx+zy-z^{2}

Združite xy in yx, da dobite 2xy.

x^{2}+2xy+y^{2}-yz+zy-z^{2}

Združite -xz in zx, da dobite 0.

x^{2}+2xy+y^{2}-z^{2}

Združite -yz in zy, da dobite 0.

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