Whakaoti i te 6a^2-12a

$$6 a ^ { 2 } - 12 a$$

Tauwehe

$$6a\left(a-2\right)$$

Ngā Upane Otinga

Tauwehea te 6.

$$6\left(a^{2}-2a\right)$$

Whakaarohia te a^{2}-2a. Tauwehea te a.

$$a\left(a-2\right)$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$6a\left(a-2\right)$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Ka taea te huamaha pūrua te tauwehe mā te whakamahi i te huringa ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), ina ko x_{1} me x_{2} ngā otinga o te whārite pūrua ax^{2}+bx+c=0.

$$6a^{2}-12a=0$$

Ko ngā whārite katoa o te āhua ax^{2}+bx+c=0 ka taea te whakaoti mā te whakamahi i te tikanga tātai pūrua: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. E rua ngā otinga ka puta i te tikanga tātai pūrua, ko tētahi ina he tāpiri a ±, ā, ko tētahi ina he tango.

$$a=\frac{-\left(-12\right)±\sqrt{\left(-12\right)^{2}}}{2\times 6}$$

Tuhia te pūtakerua o te \left(-12\right)^{2}.

$$a=\frac{-\left(-12\right)±12}{2\times 6}$$

Ko te tauaro o -12 ko 12.

$$a=\frac{12±12}{2\times 6}$$

Whakareatia 2 ki te 6.

$$a=\frac{12±12}{12}$$

Nā, me whakaoti te whārite a=\frac{12±12}{12} ina he tāpiri te ±. Tāpiri 12 ki te 12.

$$a=\frac{24}{12}$$

Whakawehe 24 ki te 12.

$$a=2$$

Nā, me whakaoti te whārite a=\frac{12±12}{12} ina he tango te ±. Tango 12 mai i 12.

$$a=\frac{0}{12}$$

Whakawehe 0 ki te 12.

$$a=0$$

Tauwehea te kīanga taketake mā te whakamahi i te ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right). Me whakakapi te 2 mō te x_{1} me te 0 mō te x_{2}.

$$6a^{2}-12a=6\left(a-2\right)a$$

Aromātai

$$6a\left(a-2\right)$$