Whakaoti i te 1/x^2-5x+6+1/x^2-3x+2+2/x^2-8x+15

$$\frac { 1 } { x ^ { 2 } - 5 x + 6 } + \frac { 1 } { x ^ { 2 } - 3 x + 2 } + \frac { 2 } { x ^ { 2 } - 8 x + 15 }$$

Aromātai

$$\frac{4}{\left(x-5\right)\left(x-1\right)}$$

Ngā Hipanga Rongoā Poto

Tauwehea te x^{2}-5x+6. Tauwehea te x^{2}-3x+2.

$$\frac{1}{\left(x-3\right)\left(x-2\right)}+\frac{1}{\left(x-2\right)\left(x-1\right)}+\frac{2}{x^{2}-8x+15}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(x-3\right)\left(x-2\right) me \left(x-2\right)\left(x-1\right) ko \left(x-3\right)\left(x-2\right)\left(x-1\right). Whakareatia \frac{1}{\left(x-3\right)\left(x-2\right)} ki te \frac{x-1}{x-1}. Whakareatia \frac{1}{\left(x-2\right)\left(x-1\right)} ki te \frac{x-3}{x-3}.

$$\frac{x-1}{\left(x-3\right)\left(x-2\right)\left(x-1\right)}+\frac{x-3}{\left(x-3\right)\left(x-2\right)\left(x-1\right)}+\frac{2}{x^{2}-8x+15}$$

Tā te mea he rite te tauraro o \frac{x-1}{\left(x-3\right)\left(x-2\right)\left(x-1\right)} me \frac{x-3}{\left(x-3\right)\left(x-2\right)\left(x-1\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{x-1+x-3}{\left(x-3\right)\left(x-2\right)\left(x-1\right)}+\frac{2}{x^{2}-8x+15}$$

Whakakotahitia ngā kupu rite i x-1+x-3.

$$\frac{2x-4}{\left(x-3\right)\left(x-2\right)\left(x-1\right)}+\frac{2}{x^{2}-8x+15}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{2x-4}{\left(x-3\right)\left(x-2\right)\left(x-1\right)}.

$$\frac{2\left(x-2\right)}{\left(x-3\right)\left(x-2\right)\left(x-1\right)}+\frac{2}{x^{2}-8x+15}$$

Me whakakore tahi te x-2 i te taurunga me te tauraro.

$$\frac{2}{\left(x-3\right)\left(x-1\right)}+\frac{2}{x^{2}-8x+15}$$

Tauwehea te x^{2}-8x+15.

$$\frac{2}{\left(x-3\right)\left(x-1\right)}+\frac{2}{\left(x-5\right)\left(x-3\right)}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(x-3\right)\left(x-1\right) me \left(x-5\right)\left(x-3\right) ko \left(x-5\right)\left(x-3\right)\left(x-1\right). Whakareatia \frac{2}{\left(x-3\right)\left(x-1\right)} ki te \frac{x-5}{x-5}. Whakareatia \frac{2}{\left(x-5\right)\left(x-3\right)} ki te \frac{x-1}{x-1}.

$$\frac{2\left(x-5\right)}{\left(x-5\right)\left(x-3\right)\left(x-1\right)}+\frac{2\left(x-1\right)}{\left(x-5\right)\left(x-3\right)\left(x-1\right)}$$

Tā te mea he rite te tauraro o \frac{2\left(x-5\right)}{\left(x-5\right)\left(x-3\right)\left(x-1\right)} me \frac{2\left(x-1\right)}{\left(x-5\right)\left(x-3\right)\left(x-1\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{2\left(x-5\right)+2\left(x-1\right)}{\left(x-5\right)\left(x-3\right)\left(x-1\right)}$$

Mahia ngā whakarea i roto o 2\left(x-5\right)+2\left(x-1\right).

$$\frac{2x-10+2x-2}{\left(x-5\right)\left(x-3\right)\left(x-1\right)}$$

Whakakotahitia ngā kupu rite i 2x-10+2x-2.

$$\frac{4x-12}{\left(x-5\right)\left(x-3\right)\left(x-1\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{4x-12}{\left(x-5\right)\left(x-3\right)\left(x-1\right)}.

$$\frac{4\left(x-3\right)}{\left(x-5\right)\left(x-3\right)\left(x-1\right)}$$

Me whakakore tahi te x-3 i te taurunga me te tauraro.

$$\frac{4}{\left(x-5\right)\left(x-1\right)}$$

Whakarohaina te \left(x-5\right)\left(x-1\right).

$$\frac{4}{x^{2}-6x+5}$$

Kimi Pārōnaki e ai ki x

$$\frac{8\left(3-x\right)}{\left(\left(x-5\right)\left(x-1\right)\right)^{2}}$$