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

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

Aromātai

$$\frac{2}{9}\approx 0.222222222$$

Ngā Upane Otinga

Tātaihia te \frac{1}{3} mā te pū o 3, kia riro ko \frac{1}{27}.

$$3\times \frac{1}{27}-2\times \left(\frac{1}{3}\right)^{2}+\frac{1}{3}$$

Whakareatia te 3 ki te \frac{1}{27}, ka \frac{3}{27}.

$$\frac{3}{27}-2\times \left(\frac{1}{3}\right)^{2}+\frac{1}{3}$$

Whakahekea te hautanga \frac{3}{27} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{1}{9}-2\times \left(\frac{1}{3}\right)^{2}+\frac{1}{3}$$

Tātaihia te \frac{1}{3} mā te pū o 2, kia riro ko \frac{1}{9}.

$$\frac{1}{9}-2\times \frac{1}{9}+\frac{1}{3}$$

Whakareatia te 2 ki te \frac{1}{9}, ka \frac{2}{9}.

$$\frac{1}{9}-\frac{2}{9}+\frac{1}{3}$$

Tā te mea he rite te tauraro o \frac{1}{9} me \frac{2}{9}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1-2}{9}+\frac{1}{3}$$

Tangohia te 2 i te 1, ka -1.

$$-\frac{1}{9}+\frac{1}{3}$$

Ko te maha noa iti rawa atu o 9 me 3 ko 9. Me tahuri -\frac{1}{9} me \frac{1}{3} ki te hautau me te tautūnga 9.

$$-\frac{1}{9}+\frac{3}{9}$$

Tā te mea he rite te tauraro o -\frac{1}{9} me \frac{3}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-1+3}{9}$$

Tāpirihia te -1 ki te 3, ka 2.

$$\frac{2}{9}$$

Tauwehe

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$