Whakaoti i te x-1/x^2+4x+3+2/x^2+5x+6

$$\frac { x - 1 } { x ^ { 2 } + 4 x + 3 } + \frac { 2 } { x ^ { 2 } + 5 x + 6 }$$

Aromātai

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

Ngā Hipanga Rongoā Poto

Tauwehea te x^{2}+4x+3. Tauwehea te x^{2}+5x+6.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Whakaroha

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

Ngā Hipanga Rongoā Poto

Tauwehea te x^{2}+4x+3. Tauwehea te x^{2}+5x+6.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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