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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

x^{2}+xy-xz+yx+y^{2}-yz+zx+zy-z^{2}
Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x+y+z ki ia tau o x+y-z.
x^{2}+2xy-xz+y^{2}-yz+zx+zy-z^{2}
Pahekotia te xy me yx, ka 2xy.
x^{2}+2xy+y^{2}-yz+zy-z^{2}
Pahekotia te -xz me zx, ka 0.
x^{2}+2xy+y^{2}-z^{2}
Pahekotia te -yz me zy, ka 0.
x^{2}+xy-xz+yx+y^{2}-yz+zx+zy-z^{2}
Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x+y+z ki ia tau o x+y-z.
x^{2}+2xy-xz+y^{2}-yz+zx+zy-z^{2}
Pahekotia te xy me yx, ka 2xy.
x^{2}+2xy+y^{2}-yz+zy-z^{2}
Pahekotia te -xz me zx, ka 0.
x^{2}+2xy+y^{2}-z^{2}
Pahekotia te -yz me zy, ka 0.