Whakaoti i te f(x)=(x^2+4x+3/x^2+2x-3-x^2+2x+1/x^2+3x+2)*x+2/x+1

$$f ( x ) = ( \frac { x ^ { 2 } + 4 x + 3 } { x ^ { 2 } + 2 x - 3 } - \frac { x ^ { 2 } + 2 x + 1 } { x ^ { 2 } + 3 x + 2 } ) \cdot \frac { x + 2 } { x + 1 }$$

Aromātai

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

Ngā Hipanga Rongoā Poto

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{x^{2}+4x+3}{x^{2}+2x-3}.

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

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

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

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

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

Me whakakore tahi te x+1 i te taurunga me te tauraro.

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

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

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

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)} me \frac{\left(x+1\right)\left(x-1\right)}{\left(x-1\right)\left(x+2\right)}, me tango rāua mā te tango i ō raua taurunga.

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

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

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

Whakakotahitia ngā kupu rite i x^{2}+2x+x+2-x^{2}+x-x+1.

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

Me whakarea te \frac{3x+3}{\left(x-1\right)\left(x+2\right)} ki te \frac{x+2}{x+1} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

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

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

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

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

Me whakakore tahi te x+1 i te taurunga me te tauraro.

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

Whakaroha

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

Ngā Hipanga Rongoā Poto

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{x^{2}+4x+3}{x^{2}+2x-3}.

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

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

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

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

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

Me whakakore tahi te x+1 i te taurunga me te tauraro.

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

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

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

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)} me \frac{\left(x+1\right)\left(x-1\right)}{\left(x-1\right)\left(x+2\right)}, me tango rāua mā te tango i ō raua taurunga.

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

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

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

Whakakotahitia ngā kupu rite i x^{2}+2x+x+2-x^{2}+x-x+1.

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

Me whakarea te \frac{3x+3}{\left(x-1\right)\left(x+2\right)} ki te \frac{x+2}{x+1} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

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

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

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

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

Me whakakore tahi te x+1 i te taurunga me te tauraro.

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