Whakaoti i te (3/a+1-a+1)diva^2-4a+4/a+1

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

Aromātai

$$-\frac{a+2}{a-2}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia -a+1 ki te \frac{a+1}{a+1}.

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

Tā te mea he rite te tauraro o \frac{3}{a+1} me \frac{\left(-a+1\right)\left(a+1\right)}{a+1}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Mahia ngā whakarea i roto o 3+\left(-a+1\right)\left(a+1\right).

$$\frac{\frac{3-a^{2}-a+a+1}{a+1}}{\frac{a^{2}-4a+4}{a+1}}$$

Whakakotahitia ngā kupu rite i 3-a^{2}-a+a+1.

$$\frac{\frac{4-a^{2}}{a+1}}{\frac{a^{2}-4a+4}{a+1}}$$

Whakawehe \frac{4-a^{2}}{a+1} ki te \frac{a^{2}-4a+4}{a+1} mā te whakarea \frac{4-a^{2}}{a+1} ki te tau huripoki o \frac{a^{2}-4a+4}{a+1}.

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

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

$$\frac{-a^{2}+4}{a^{2}-4a+4}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

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

Me whakakore tahi te a-2 i te taurunga me te tauraro.

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

Whakaroha

$$-\frac{a+2}{a-2}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia -a+1 ki te \frac{a+1}{a+1}.

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

Tā te mea he rite te tauraro o \frac{3}{a+1} me \frac{\left(-a+1\right)\left(a+1\right)}{a+1}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Mahia ngā whakarea i roto o 3+\left(-a+1\right)\left(a+1\right).

$$\frac{\frac{3-a^{2}-a+a+1}{a+1}}{\frac{a^{2}-4a+4}{a+1}}$$

Whakakotahitia ngā kupu rite i 3-a^{2}-a+a+1.

$$\frac{\frac{4-a^{2}}{a+1}}{\frac{a^{2}-4a+4}{a+1}}$$

Whakawehe \frac{4-a^{2}}{a+1} ki te \frac{a^{2}-4a+4}{a+1} mā te whakarea \frac{4-a^{2}}{a+1} ki te tau huripoki o \frac{a^{2}-4a+4}{a+1}.

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

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

$$\frac{-a^{2}+4}{a^{2}-4a+4}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

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

Me whakakore tahi te a-2 i te taurunga me te tauraro.

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