Whakaoti i te x^2+x/x^2-25+x^2-1/x^2+11x+30

$$\frac { x ^ { 2 } + x } { x ^ { 2 } - 25 } + \frac { x ^ { 2 } - 1 } { x ^ { 2 } + 11 x + 30 }$$

Aromātai

$$\frac{\left(x+1\right)\left(2x^{2}+5\right)}{\left(x+6\right)\left(x^{2}-25\right)}$$

Ngā Hipanga Rongoā Poto

Tauwehea te x^{2}-25. Tauwehea te x^{2}+11x+30.

$$\frac{x^{2}+x}{\left(x-5\right)\left(x+5\right)}+\frac{x^{2}-1}{\left(x+5\right)\left(x+6\right)}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(x-5\right)\left(x+5\right) me \left(x+5\right)\left(x+6\right) ko \left(x-5\right)\left(x+5\right)\left(x+6\right). Whakareatia \frac{x^{2}+x}{\left(x-5\right)\left(x+5\right)} ki te \frac{x+6}{x+6}. Whakareatia \frac{x^{2}-1}{\left(x+5\right)\left(x+6\right)} ki te \frac{x-5}{x-5}.

$$\frac{\left(x^{2}+x\right)\left(x+6\right)}{\left(x-5\right)\left(x+5\right)\left(x+6\right)}+\frac{\left(x^{2}-1\right)\left(x-5\right)}{\left(x-5\right)\left(x+5\right)\left(x+6\right)}$$

Tā te mea he rite te tauraro o \frac{\left(x^{2}+x\right)\left(x+6\right)}{\left(x-5\right)\left(x+5\right)\left(x+6\right)} me \frac{\left(x^{2}-1\right)\left(x-5\right)}{\left(x-5\right)\left(x+5\right)\left(x+6\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\left(x^{2}+x\right)\left(x+6\right)+\left(x^{2}-1\right)\left(x-5\right)}{\left(x-5\right)\left(x+5\right)\left(x+6\right)}$$

Mahia ngā whakarea i roto o \left(x^{2}+x\right)\left(x+6\right)+\left(x^{2}-1\right)\left(x-5\right).

$$\frac{x^{3}+6x^{2}+x^{2}+6x+x^{3}-5x^{2}-x+5}{\left(x-5\right)\left(x+5\right)\left(x+6\right)}$$

Whakakotahitia ngā kupu rite i x^{3}+6x^{2}+x^{2}+6x+x^{3}-5x^{2}-x+5.

$$\frac{2x^{3}+2x^{2}+5x+5}{\left(x-5\right)\left(x+5\right)\left(x+6\right)}$$

Whakarohaina te \left(x-5\right)\left(x+5\right)\left(x+6\right).

$$\frac{2x^{3}+2x^{2}+5x+5}{x^{3}+6x^{2}-25x-150}$$

Whakaroha

$$\frac{2x^{3}+2x^{2}+5x+5}{\left(x+6\right)\left(x^{2}-25\right)}$$

Ngā Hipanga Rongoā Poto

Tauwehea te x^{2}-25. Tauwehea te x^{2}+11x+30.

$$\frac{x^{2}+x}{\left(x-5\right)\left(x+5\right)}+\frac{x^{2}-1}{\left(x+5\right)\left(x+6\right)}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(x-5\right)\left(x+5\right) me \left(x+5\right)\left(x+6\right) ko \left(x-5\right)\left(x+5\right)\left(x+6\right). Whakareatia \frac{x^{2}+x}{\left(x-5\right)\left(x+5\right)} ki te \frac{x+6}{x+6}. Whakareatia \frac{x^{2}-1}{\left(x+5\right)\left(x+6\right)} ki te \frac{x-5}{x-5}.

$$\frac{\left(x^{2}+x\right)\left(x+6\right)}{\left(x-5\right)\left(x+5\right)\left(x+6\right)}+\frac{\left(x^{2}-1\right)\left(x-5\right)}{\left(x-5\right)\left(x+5\right)\left(x+6\right)}$$

Tā te mea he rite te tauraro o \frac{\left(x^{2}+x\right)\left(x+6\right)}{\left(x-5\right)\left(x+5\right)\left(x+6\right)} me \frac{\left(x^{2}-1\right)\left(x-5\right)}{\left(x-5\right)\left(x+5\right)\left(x+6\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\left(x^{2}+x\right)\left(x+6\right)+\left(x^{2}-1\right)\left(x-5\right)}{\left(x-5\right)\left(x+5\right)\left(x+6\right)}$$

Mahia ngā whakarea i roto o \left(x^{2}+x\right)\left(x+6\right)+\left(x^{2}-1\right)\left(x-5\right).

$$\frac{x^{3}+6x^{2}+x^{2}+6x+x^{3}-5x^{2}-x+5}{\left(x-5\right)\left(x+5\right)\left(x+6\right)}$$

Whakakotahitia ngā kupu rite i x^{3}+6x^{2}+x^{2}+6x+x^{3}-5x^{2}-x+5.

$$\frac{2x^{3}+2x^{2}+5x+5}{\left(x-5\right)\left(x+5\right)\left(x+6\right)}$$

Whakarohaina te \left(x-5\right)\left(x+5\right)\left(x+6\right).

$$\frac{2x^{3}+2x^{2}+5x+5}{x^{3}+6x^{2}-25x-150}$$