Whakaoti i te -1/x^2+1/x+1/(x-2)^2-1/2-x

$$- \frac { 1 } { x ^ { 2 } } + \frac { 1 } { x } + \frac { 1 } { ( x - 2 ) ^ { 2 } } - \frac { 1 } { 2 - x }$$

Aromātai

$$-\frac{2\left(x-1\right)\left(-x^{2}+2x-2\right)}{\left(x\left(2-x\right)\right)^{2}}$$

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^{2} me x ko x^{2}. Whakareatia \frac{1}{x} ki te \frac{x}{x}.

$$-\frac{1}{x^{2}}+\frac{x}{x^{2}}+\frac{1}{\left(x-2\right)^{2}}-\frac{1}{2-x}$$

Tā te mea he rite te tauraro o -\frac{1}{x^{2}} me \frac{x}{x^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-1+x}{x^{2}}+\frac{1}{\left(x-2\right)^{2}}-\frac{1}{2-x}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x^{2} me \left(x-2\right)^{2} ko x^{2}\left(x-2\right)^{2}. Whakareatia \frac{-1+x}{x^{2}} ki te \frac{\left(x-2\right)^{2}}{\left(x-2\right)^{2}}. Whakareatia \frac{1}{\left(x-2\right)^{2}} ki te \frac{x^{2}}{x^{2}}.

$$\frac{\left(-1+x\right)\left(x-2\right)^{2}}{x^{2}\left(x-2\right)^{2}}+\frac{x^{2}}{x^{2}\left(x-2\right)^{2}}-\frac{1}{2-x}$$

Tā te mea he rite te tauraro o \frac{\left(-1+x\right)\left(x-2\right)^{2}}{x^{2}\left(x-2\right)^{2}} me \frac{x^{2}}{x^{2}\left(x-2\right)^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\left(-1+x\right)\left(x-2\right)^{2}+x^{2}}{x^{2}\left(x-2\right)^{2}}-\frac{1}{2-x}$$

Mahia ngā whakarea i roto o \left(-1+x\right)\left(x-2\right)^{2}+x^{2}.

$$\frac{-x^{2}+4x-4+x^{3}-4x^{2}+4x+x^{2}}{x^{2}\left(x-2\right)^{2}}-\frac{1}{2-x}$$

Whakakotahitia ngā kupu rite i -x^{2}+4x-4+x^{3}-4x^{2}+4x+x^{2}.

$$\frac{-4x^{2}+8x-4+x^{3}}{x^{2}\left(x-2\right)^{2}}-\frac{1}{2-x}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x^{2}\left(x-2\right)^{2} me 2-x ko x^{2}\left(x-2\right)^{2}. Whakareatia \frac{1}{2-x} ki te \frac{-\left(x-2\right)x^{2}}{-\left(x-2\right)x^{2}}.

$$\frac{-4x^{2}+8x-4+x^{3}}{x^{2}\left(x-2\right)^{2}}-\frac{-\left(x-2\right)x^{2}}{x^{2}\left(x-2\right)^{2}}$$

Tā te mea he rite te tauraro o \frac{-4x^{2}+8x-4+x^{3}}{x^{2}\left(x-2\right)^{2}} me \frac{-\left(x-2\right)x^{2}}{x^{2}\left(x-2\right)^{2}}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-4x^{2}+8x-4+x^{3}-\left(-\left(x-2\right)x^{2}\right)}{x^{2}\left(x-2\right)^{2}}$$

Mahia ngā whakarea i roto o -4x^{2}+8x-4+x^{3}-\left(-\left(x-2\right)x^{2}\right).

$$\frac{-4x^{2}+8x-4+x^{3}+x^{3}-2x^{2}}{x^{2}\left(x-2\right)^{2}}$$

Whakakotahitia ngā kupu rite i -4x^{2}+8x-4+x^{3}+x^{3}-2x^{2}.

$$\frac{-6x^{2}+8x-4+2x^{3}}{x^{2}\left(x-2\right)^{2}}$$

Whakarohaina te x^{2}\left(x-2\right)^{2}.

$$\frac{-6x^{2}+8x-4+2x^{3}}{x^{4}-4x^{3}+4x^{2}}$$

Whakaroha

$$\frac{2\left(x^{3}-3x^{2}+4x-2\right)}{\left(x\left(x-2\right)\right)^{2}}$$

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^{2} me x ko x^{2}. Whakareatia \frac{1}{x} ki te \frac{x}{x}.

$$-\frac{1}{x^{2}}+\frac{x}{x^{2}}+\frac{1}{\left(x-2\right)^{2}}-\frac{1}{2-x}$$

Tā te mea he rite te tauraro o -\frac{1}{x^{2}} me \frac{x}{x^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-1+x}{x^{2}}+\frac{1}{\left(x-2\right)^{2}}-\frac{1}{2-x}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x^{2} me \left(x-2\right)^{2} ko x^{2}\left(x-2\right)^{2}. Whakareatia \frac{-1+x}{x^{2}} ki te \frac{\left(x-2\right)^{2}}{\left(x-2\right)^{2}}. Whakareatia \frac{1}{\left(x-2\right)^{2}} ki te \frac{x^{2}}{x^{2}}.

$$\frac{\left(-1+x\right)\left(x-2\right)^{2}}{x^{2}\left(x-2\right)^{2}}+\frac{x^{2}}{x^{2}\left(x-2\right)^{2}}-\frac{1}{2-x}$$

Tā te mea he rite te tauraro o \frac{\left(-1+x\right)\left(x-2\right)^{2}}{x^{2}\left(x-2\right)^{2}} me \frac{x^{2}}{x^{2}\left(x-2\right)^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\left(-1+x\right)\left(x-2\right)^{2}+x^{2}}{x^{2}\left(x-2\right)^{2}}-\frac{1}{2-x}$$

Mahia ngā whakarea i roto o \left(-1+x\right)\left(x-2\right)^{2}+x^{2}.

$$\frac{-x^{2}+4x-4+x^{3}-4x^{2}+4x+x^{2}}{x^{2}\left(x-2\right)^{2}}-\frac{1}{2-x}$$

Whakakotahitia ngā kupu rite i -x^{2}+4x-4+x^{3}-4x^{2}+4x+x^{2}.

$$\frac{-4x^{2}+8x-4+x^{3}}{x^{2}\left(x-2\right)^{2}}-\frac{1}{2-x}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x^{2}\left(x-2\right)^{2} me 2-x ko x^{2}\left(x-2\right)^{2}. Whakareatia \frac{1}{2-x} ki te \frac{-\left(x-2\right)x^{2}}{-\left(x-2\right)x^{2}}.

$$\frac{-4x^{2}+8x-4+x^{3}}{x^{2}\left(x-2\right)^{2}}-\frac{-\left(x-2\right)x^{2}}{x^{2}\left(x-2\right)^{2}}$$

Tā te mea he rite te tauraro o \frac{-4x^{2}+8x-4+x^{3}}{x^{2}\left(x-2\right)^{2}} me \frac{-\left(x-2\right)x^{2}}{x^{2}\left(x-2\right)^{2}}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-4x^{2}+8x-4+x^{3}-\left(-\left(x-2\right)x^{2}\right)}{x^{2}\left(x-2\right)^{2}}$$

Mahia ngā whakarea i roto o -4x^{2}+8x-4+x^{3}-\left(-\left(x-2\right)x^{2}\right).

$$\frac{-4x^{2}+8x-4+x^{3}+x^{3}-2x^{2}}{x^{2}\left(x-2\right)^{2}}$$

Whakakotahitia ngā kupu rite i -4x^{2}+8x-4+x^{3}+x^{3}-2x^{2}.

$$\frac{-6x^{2}+8x-4+2x^{3}}{x^{2}\left(x-2\right)^{2}}$$

Whakarohaina te x^{2}\left(x-2\right)^{2}.

$$\frac{-6x^{2}+8x-4+2x^{3}}{x^{4}-4x^{3}+4x^{2}}$$