Whakaoti i te 12ax^2/4ax=3ax^2/ax=

$$\frac { 12 a x ^ { 2 } } { 4 a x } = \frac { 3 a x ^ { 2 } } { a x } =$$

Whakaoti mō a

$$a\neq 0$$

$$x\neq 0$$

Ngā Upane Otinga

Tē taea kia ōrite te tāupe a ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 4ax, arā, te tauraro pātahi he tino iti rawa te kitea o 4ax,ax.

$$12ax^{2}=4\times 3ax^{2}$$

Whakareatia te 4 ki te 3, ka 12.

$$12ax^{2}=12ax^{2}$$

Tangohia te 12ax^{2} mai i ngā taha e rua.

$$12ax^{2}-12ax^{2}=0$$

Pahekotia te 12ax^{2} me -12ax^{2}, ka 0.

$$0=0$$

Whakatauritea te 0 me te 0.

$$\text{true}$$

He pono tēnei mō tētahi a ahakoa.

$$a\in \mathrm{R}$$

Tē taea kia ōrite te tāupe a ki 0.

$$a\in \mathrm{R}\setminus 0$$

Whakaoti mō x

$$x\neq 0$$

$$a\neq 0$$

Ngā Upane Otinga

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 4ax, arā, te tauraro pātahi he tino iti rawa te kitea o 4ax,ax.

$$12ax^{2}=4\times 3ax^{2}$$

Whakareatia te 4 ki te 3, ka 12.

$$12ax^{2}=12ax^{2}$$

Tangohia te 12ax^{2} mai i ngā taha e rua.

$$12ax^{2}-12ax^{2}=0$$

Pahekotia te 12ax^{2} me -12ax^{2}, ka 0.

$$0=0$$

Whakatauritea te 0 me te 0.

$$\text{true}$$

He pono tēnei mō tētahi x ahakoa.

$$x\in \mathrm{R}$$

Tē taea kia ōrite te tāupe x ki 0.

$$x\in \mathrm{R}\setminus 0$$