Whakaoti i te 1/a-1-2/a^2-2a+1/a^2-3a+2

$$\frac { 1 } { a - 1 } - \frac { 2 } { a ^ { 2 } - 2 a } + \frac { 1 } { a ^ { 2 } - 3 a + 2 }$$

Aromātai

$$\frac{1}{a}$$

Ngā Hipanga Rongoā Poto

Tauwehea te a^{2}-2a.

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

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

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

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

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

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

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

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

$$\frac{a^{2}-4a+2}{a\left(a-2\right)\left(a-1\right)}+\frac{1}{a^{2}-3a+2}$$

Tauwehea te a^{2}-3a+2.

$$\frac{a^{2}-4a+2}{a\left(a-2\right)\left(a-1\right)}+\frac{1}{\left(a-2\right)\left(a-1\right)}$$

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

$$\frac{a^{2}-4a+2}{a\left(a-2\right)\left(a-1\right)}+\frac{a}{a\left(a-2\right)\left(a-1\right)}$$

Tā te mea he rite te tauraro o \frac{a^{2}-4a+2}{a\left(a-2\right)\left(a-1\right)} me \frac{a}{a\left(a-2\right)\left(a-1\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{a^{2}-4a+2+a}{a\left(a-2\right)\left(a-1\right)}$$

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

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

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

$$\frac{\left(a-2\right)\left(a-1\right)}{a\left(a-2\right)\left(a-1\right)}$$

Me whakakore tahi te \left(a-2\right)\left(a-1\right) i te taurunga me te tauraro.

$$\frac{1}{a}$$

Kimi Pārōnaki e ai ki a

$$-\frac{1}{a^{2}}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Tauwehea te a^{2}-2a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{a-1}-\frac{2}{a\left(a-2\right)}+\frac{1}{a^{2}-3a+2})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a\left(a-2\right)}{a\left(a-2\right)\left(a-1\right)}-\frac{2\left(a-1\right)}{a\left(a-2\right)\left(a-1\right)}+\frac{1}{a^{2}-3a+2})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a\left(a-2\right)-2\left(a-1\right)}{a\left(a-2\right)\left(a-1\right)}+\frac{1}{a^{2}-3a+2})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{2}-2a-2a+2}{a\left(a-2\right)\left(a-1\right)}+\frac{1}{a^{2}-3a+2})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{2}-4a+2}{a\left(a-2\right)\left(a-1\right)}+\frac{1}{a^{2}-3a+2})$$

Tauwehea te a^{2}-3a+2.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{2}-4a+2}{a\left(a-2\right)\left(a-1\right)}+\frac{1}{\left(a-2\right)\left(a-1\right)})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{2}-4a+2}{a\left(a-2\right)\left(a-1\right)}+\frac{a}{a\left(a-2\right)\left(a-1\right)})$$

Tā te mea he rite te tauraro o \frac{a^{2}-4a+2}{a\left(a-2\right)\left(a-1\right)} me \frac{a}{a\left(a-2\right)\left(a-1\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{2}-4a+2+a}{a\left(a-2\right)\left(a-1\right)})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{2}-3a+2}{a\left(a-2\right)\left(a-1\right)})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{\left(a-2\right)\left(a-1\right)}{a\left(a-2\right)\left(a-1\right)})$$

Me whakakore tahi te \left(a-2\right)\left(a-1\right) i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{a})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$-a^{-1-1}$$

Tango 1 mai i -1.

$$-a^{-2}$$