Whakaoti i te 3/x(x-y)-3/y(x-y)

$$\frac{ 3 }{ x(x-y) } - \frac{ 3 }{ y(x-y) }$$

Aromātai

$$-\frac{3}{xy}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x\left(x-y\right) me y\left(x-y\right) ko xy\left(x-y\right). Whakareatia \frac{3}{x\left(x-y\right)} ki te \frac{y}{y}. Whakareatia \frac{3}{y\left(x-y\right)} ki te \frac{x}{x}.

$$\frac{3y}{xy\left(x-y\right)}-\frac{3x}{xy\left(x-y\right)}$$

Tā te mea he rite te tauraro o \frac{3y}{xy\left(x-y\right)} me \frac{3x}{xy\left(x-y\right)}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3y-3x}{xy\left(x-y\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{3y-3x}{xy\left(x-y\right)}.

$$\frac{3\left(-x+y\right)}{xy\left(x-y\right)}$$

Unuhia te tohu tōraro i roto o y-x.

$$\frac{-3\left(x-y\right)}{xy\left(x-y\right)}$$

Me whakakore tahi te x-y i te taurunga me te tauraro.

$$\frac{-3}{xy}$$

Whakaroha

$$-\frac{3}{xy}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x\left(x-y\right) me y\left(x-y\right) ko xy\left(x-y\right). Whakareatia \frac{3}{x\left(x-y\right)} ki te \frac{y}{y}. Whakareatia \frac{3}{y\left(x-y\right)} ki te \frac{x}{x}.

$$\frac{3y}{xy\left(x-y\right)}-\frac{3x}{xy\left(x-y\right)}$$

Tā te mea he rite te tauraro o \frac{3y}{xy\left(x-y\right)} me \frac{3x}{xy\left(x-y\right)}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3y-3x}{xy\left(x-y\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{3y-3x}{xy\left(x-y\right)}.

$$\frac{3\left(-x+y\right)}{xy\left(x-y\right)}$$

Unuhia te tohu tōraro i roto o y-x.

$$\frac{-3\left(x-y\right)}{xy\left(x-y\right)}$$

Me whakakore tahi te x-y i te taurunga me te tauraro.

$$\frac{-3}{xy}$$