Whakaoti i te 6x^-1-5y^-1/36x^-2-25y^-2

$$\frac { 6 x ^ { - 1 } - 5 y ^ { - 1 } } { 36 x ^ { - 2 } - 25 y ^ { - 2 } }$$

Aromātai

$$\frac{xy}{5x+6y}$$

Ngā Hipanga Rongoā Poto

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{\left(-5\times \frac{1}{y}x+6\right)\times \frac{1}{x}}{\left(-25y^{-2}x^{2}+36\right)x^{-2}}$$

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.

$$\frac{\left(-5\times \frac{1}{y}x+6\right)x^{1}}{-25y^{-2}x^{2}+36}$$

Me whakaroha te kīanga.

$$\frac{-5\times \frac{1}{y}x^{2}+6x}{36-25\times \left(\frac{1}{y}x\right)^{2}}$$

Tuhia te -5\times \frac{1}{y} hei hautanga kotahi.

$$\frac{\frac{-5}{y}x^{2}+6x}{36-25\times \left(\frac{1}{y}x\right)^{2}}$$

Tuhia te \frac{-5}{y}x^{2} hei hautanga kotahi.

$$\frac{\frac{-5x^{2}}{y}+6x}{36-25\times \left(\frac{1}{y}x\right)^{2}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 6x ki te \frac{y}{y}.

$$\frac{\frac{-5x^{2}}{y}+\frac{6xy}{y}}{36-25\times \left(\frac{1}{y}x\right)^{2}}$$

Tā te mea he rite te tauraro o \frac{-5x^{2}}{y} me \frac{6xy}{y}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{-5x^{2}+6xy}{y}}{36-25\times \left(\frac{1}{y}x\right)^{2}}$$

Tuhia te \frac{1}{y}x hei hautanga kotahi.

$$\frac{\frac{-5x^{2}+6xy}{y}}{36-25\times \left(\frac{x}{y}\right)^{2}}$$

Kia whakarewa i te \frac{x}{y} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\frac{-5x^{2}+6xy}{y}}{36-25\times \frac{x^{2}}{y^{2}}}$$

Tuhia te -25\times \frac{x^{2}}{y^{2}} hei hautanga kotahi.

$$\frac{\frac{-5x^{2}+6xy}{y}}{36+\frac{-25x^{2}}{y^{2}}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 36 ki te \frac{y^{2}}{y^{2}}.

$$\frac{\frac{-5x^{2}+6xy}{y}}{\frac{36y^{2}}{y^{2}}+\frac{-25x^{2}}{y^{2}}}$$

Tā te mea he rite te tauraro o \frac{36y^{2}}{y^{2}} me \frac{-25x^{2}}{y^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{-5x^{2}+6xy}{y}}{\frac{36y^{2}-25x^{2}}{y^{2}}}$$

Whakawehe \frac{-5x^{2}+6xy}{y} ki te \frac{36y^{2}-25x^{2}}{y^{2}} mā te whakarea \frac{-5x^{2}+6xy}{y} ki te tau huripoki o \frac{36y^{2}-25x^{2}}{y^{2}}.

$$\frac{\left(-5x^{2}+6xy\right)y^{2}}{y\left(36y^{2}-25x^{2}\right)}$$

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

$$\frac{y\left(-5x^{2}+6xy\right)}{-25x^{2}+36y^{2}}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{xy\left(-5x+6y\right)}{\left(-5x-6y\right)\left(5x-6y\right)}$$

Unuhia te tohu tōraro i roto o -5x+6y.

$$\frac{-xy\left(5x-6y\right)}{\left(-5x-6y\right)\left(5x-6y\right)}$$

Me whakakore tahi te 5x-6y i te taurunga me te tauraro.

$$\frac{-xy}{-5x-6y}$$

Whakaroha

$$\frac{xy}{5x+6y}$$

Ngā Hipanga Rongoā Poto

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{\left(-5\times \frac{1}{y}x+6\right)\times \frac{1}{x}}{\left(-25y^{-2}x^{2}+36\right)x^{-2}}$$

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.

$$\frac{\left(-5\times \frac{1}{y}x+6\right)x^{1}}{-25y^{-2}x^{2}+36}$$

Me whakaroha te kīanga.

$$\frac{-5\times \frac{1}{y}x^{2}+6x}{36-25\times \left(\frac{1}{y}x\right)^{2}}$$

Tuhia te -5\times \frac{1}{y} hei hautanga kotahi.

$$\frac{\frac{-5}{y}x^{2}+6x}{36-25\times \left(\frac{1}{y}x\right)^{2}}$$

Tuhia te \frac{-5}{y}x^{2} hei hautanga kotahi.

$$\frac{\frac{-5x^{2}}{y}+6x}{36-25\times \left(\frac{1}{y}x\right)^{2}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 6x ki te \frac{y}{y}.

$$\frac{\frac{-5x^{2}}{y}+\frac{6xy}{y}}{36-25\times \left(\frac{1}{y}x\right)^{2}}$$

Tā te mea he rite te tauraro o \frac{-5x^{2}}{y} me \frac{6xy}{y}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{-5x^{2}+6xy}{y}}{36-25\times \left(\frac{1}{y}x\right)^{2}}$$

Tuhia te \frac{1}{y}x hei hautanga kotahi.

$$\frac{\frac{-5x^{2}+6xy}{y}}{36-25\times \left(\frac{x}{y}\right)^{2}}$$

Kia whakarewa i te \frac{x}{y} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\frac{-5x^{2}+6xy}{y}}{36-25\times \frac{x^{2}}{y^{2}}}$$

Tuhia te -25\times \frac{x^{2}}{y^{2}} hei hautanga kotahi.

$$\frac{\frac{-5x^{2}+6xy}{y}}{36+\frac{-25x^{2}}{y^{2}}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 36 ki te \frac{y^{2}}{y^{2}}.

$$\frac{\frac{-5x^{2}+6xy}{y}}{\frac{36y^{2}}{y^{2}}+\frac{-25x^{2}}{y^{2}}}$$

Tā te mea he rite te tauraro o \frac{36y^{2}}{y^{2}} me \frac{-25x^{2}}{y^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{-5x^{2}+6xy}{y}}{\frac{36y^{2}-25x^{2}}{y^{2}}}$$

Whakawehe \frac{-5x^{2}+6xy}{y} ki te \frac{36y^{2}-25x^{2}}{y^{2}} mā te whakarea \frac{-5x^{2}+6xy}{y} ki te tau huripoki o \frac{36y^{2}-25x^{2}}{y^{2}}.

$$\frac{\left(-5x^{2}+6xy\right)y^{2}}{y\left(36y^{2}-25x^{2}\right)}$$

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

$$\frac{y\left(-5x^{2}+6xy\right)}{-25x^{2}+36y^{2}}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{xy\left(-5x+6y\right)}{\left(-5x-6y\right)\left(5x-6y\right)}$$

Unuhia te tohu tōraro i roto o -5x+6y.

$$\frac{-xy\left(5x-6y\right)}{\left(-5x-6y\right)\left(5x-6y\right)}$$

Me whakakore tahi te 5x-6y i te taurunga me te tauraro.

$$\frac{-xy}{-5x-6y}$$