Whakaoti i te 2/x^2+7x+10+3/x^2-25

$$\frac { 2 } { x ^ { 2 } + 7 x + 10 } + \frac { 3 } { x ^ { 2 } - 25 }$$

Aromātai

$$\frac{5x-4}{\left(x+2\right)\left(x^{2}-25\right)}$$

Ngā Hipanga Rongoā Poto

Tauwehea te x^{2}+7x+10. Tauwehea te x^{2}-25.

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

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

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

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

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

Mahia ngā whakarea i roto o 2\left(x-5\right)+3\left(x+2\right).

$$\frac{2x-10+3x+6}{\left(x-5\right)\left(x+2\right)\left(x+5\right)}$$

Whakakotahitia ngā kupu rite i 2x-10+3x+6.

$$\frac{5x-4}{\left(x-5\right)\left(x+2\right)\left(x+5\right)}$$

Whakarohaina te \left(x-5\right)\left(x+2\right)\left(x+5\right).

$$\frac{5x-4}{x^{3}+2x^{2}-25x-50}$$

Kimi Pārōnaki e ai ki x

$$\frac{2\left(-5x^{3}+x^{2}+8x-175\right)}{\left(\left(x+2\right)\left(x^{2}-25\right)\right)^{2}}$$