Aromātai
\frac{x^{2}+y^{2}-2y}{2xy}
Whakaroha
\frac{x^{2}+y^{2}-2y}{2xy}
Pātaitai
Algebra
5 raruraru e ōrite ana ki:
\frac{ y-2 }{ 3x-x } + \frac{ 3 { x }^{ 2 } -x }{ 6xy-2y }
Tohaina
Kua tāruatia ki te papatopenga
\frac{y-2}{2x}+\frac{3x^{2}-x}{6xy-2y}
Pahekotia te 3x me -x, ka 2x.
\frac{y-2}{2x}+\frac{x\left(3x-1\right)}{2y\left(3x-1\right)}
Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{3x^{2}-x}{6xy-2y}.
\frac{y-2}{2x}+\frac{x}{2y}
Me whakakore tahi te 3x-1 i te taurunga me te tauraro.
\frac{\left(y-2\right)y}{2xy}+\frac{xx}{2xy}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 2x me 2y ko 2xy. Whakareatia \frac{y-2}{2x} ki te \frac{y}{y}. Whakareatia \frac{x}{2y} ki te \frac{x}{x}.
\frac{\left(y-2\right)y+xx}{2xy}
Tā te mea he rite te tauraro o \frac{\left(y-2\right)y}{2xy} me \frac{xx}{2xy}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{y^{2}-2y+x^{2}}{2xy}
Mahia ngā whakarea i roto o \left(y-2\right)y+xx.
\frac{y-2}{2x}+\frac{3x^{2}-x}{6xy-2y}
Pahekotia te 3x me -x, ka 2x.
\frac{y-2}{2x}+\frac{x\left(3x-1\right)}{2y\left(3x-1\right)}
Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{3x^{2}-x}{6xy-2y}.
\frac{y-2}{2x}+\frac{x}{2y}
Me whakakore tahi te 3x-1 i te taurunga me te tauraro.
\frac{\left(y-2\right)y}{2xy}+\frac{xx}{2xy}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 2x me 2y ko 2xy. Whakareatia \frac{y-2}{2x} ki te \frac{y}{y}. Whakareatia \frac{x}{2y} ki te \frac{x}{x}.
\frac{\left(y-2\right)y+xx}{2xy}
Tā te mea he rite te tauraro o \frac{\left(y-2\right)y}{2xy} me \frac{xx}{2xy}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{y^{2}-2y+x^{2}}{2xy}
Mahia ngā whakarea i roto o \left(y-2\right)y+xx.
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