Whakaoti i te 1/x+2/x-1-3/x+2

$$\frac { 1 } { x } + \frac { 2 } { x - 1 } - \frac { 3 } { x + 2 }$$

Aromātai

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

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 me x-1 ko x\left(x-1\right). Whakareatia \frac{1}{x} ki te \frac{x-1}{x-1}. Whakareatia \frac{2}{x-1} ki te \frac{x}{x}.

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

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

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

Whakakotahitia ngā kupu rite i x-1+2x.

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

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

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

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

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

Mahia ngā whakarea i roto o \left(3x-1\right)\left(x+2\right)-3x\left(x-1\right).

$$\frac{3x^{2}+6x-x-2-3x^{2}+3x}{x\left(x-1\right)\left(x+2\right)}$$

Whakakotahitia ngā kupu rite i 3x^{2}+6x-x-2-3x^{2}+3x.

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

Whakarohaina te x\left(x-1\right)\left(x+2\right).

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

Kimi Pārōnaki e ai ki x

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