Whakaoti i te (a-b)(1/a-1/b)

$$( a - b ) ( \frac { 1 } { a } - \frac { 1 } { b } )$$

Aromātai

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

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 a me b ko ab. Whakareatia \frac{1}{a} ki te \frac{b}{b}. Whakareatia \frac{1}{b} ki te \frac{a}{a}.

$$\left(a-b\right)\left(\frac{b}{ab}-\frac{a}{ab}\right)$$

Tā te mea he rite te tauraro o \frac{b}{ab} me \frac{a}{ab}, me tango rāua mā te tango i ō raua taurunga.

$$\left(a-b\right)\times \frac{b-a}{ab}$$

Tuhia te \left(a-b\right)\times \frac{b-a}{ab} hei hautanga kotahi.

$$\frac{\left(a-b\right)\left(b-a\right)}{ab}$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o a-b ki ia tau o b-a.

$$\frac{ab-a^{2}-b^{2}+ba}{ab}$$

Pahekotia te ab me ba, ka 2ab.

$$\frac{2ab-a^{2}-b^{2}}{ab}$$

Whakaroha

$$\frac{-a^{2}+2ab-b^{2}}{ab}$$

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 a me b ko ab. Whakareatia \frac{1}{a} ki te \frac{b}{b}. Whakareatia \frac{1}{b} ki te \frac{a}{a}.

$$\left(a-b\right)\left(\frac{b}{ab}-\frac{a}{ab}\right)$$

Tā te mea he rite te tauraro o \frac{b}{ab} me \frac{a}{ab}, me tango rāua mā te tango i ō raua taurunga.

$$\left(a-b\right)\times \frac{b-a}{ab}$$

Tuhia te \left(a-b\right)\times \frac{b-a}{ab} hei hautanga kotahi.

$$\frac{\left(a-b\right)\left(b-a\right)}{ab}$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o a-b ki ia tau o b-a.

$$\frac{ab-a^{2}-b^{2}+ba}{ab}$$

Pahekotia te ab me ba, ka 2ab.

$$\frac{2ab-a^{2}-b^{2}}{ab}$$