Whakaoti i te 1/x(x+2)(x-2)-2/x(x^2+4)

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

Aromātai

$$\frac{12-x^{2}}{x\left(x^{4}-16\right)}$$

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\left(x+2\right)\left(x-2\right) me x\left(x^{2}+4\right) ko x\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right). Whakareatia \frac{1}{x\left(x+2\right)\left(x-2\right)} ki te \frac{x^{2}+4}{x^{2}+4}. Whakareatia \frac{2}{x\left(x^{2}+4\right)} ki te \frac{\left(x-2\right)\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}.

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

Tā te mea he rite te tauraro o \frac{x^{2}+4}{x\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right)} me \frac{2\left(x-2\right)\left(x+2\right)}{x\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right)}, me tango rāua mā te tango i ō raua taurunga.

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

Mahia ngā whakarea i roto o x^{2}+4-2\left(x-2\right)\left(x+2\right).

$$\frac{x^{2}+4-2x^{2}-4x+4x+8}{x\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right)}$$

Whakakotahitia ngā kupu rite i x^{2}+4-2x^{2}-4x+4x+8.

$$\frac{-x^{2}+12}{x\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right)}$$

Whakarohaina te x\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right).

$$\frac{-x^{2}+12}{x^{5}-16x}$$

Whakaroha

$$\frac{12-x^{2}}{x\left(x^{4}-16\right)}$$

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\left(x+2\right)\left(x-2\right) me x\left(x^{2}+4\right) ko x\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right). Whakareatia \frac{1}{x\left(x+2\right)\left(x-2\right)} ki te \frac{x^{2}+4}{x^{2}+4}. Whakareatia \frac{2}{x\left(x^{2}+4\right)} ki te \frac{\left(x-2\right)\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}.

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

Tā te mea he rite te tauraro o \frac{x^{2}+4}{x\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right)} me \frac{2\left(x-2\right)\left(x+2\right)}{x\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right)}, me tango rāua mā te tango i ō raua taurunga.

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

Mahia ngā whakarea i roto o x^{2}+4-2\left(x-2\right)\left(x+2\right).

$$\frac{x^{2}+4-2x^{2}-4x+4x+8}{x\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right)}$$

Whakakotahitia ngā kupu rite i x^{2}+4-2x^{2}-4x+4x+8.

$$\frac{-x^{2}+12}{x\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right)}$$

Whakarohaina te x\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right).

$$\frac{-x^{2}+12}{x^{5}-16x}$$