Whakaoti i te x(a^2-3)=2a^2-6a

$$x ( a ^ { 2 } - 3 ) = 2 a ^ { 2 } - 6 a$$

Tauwehe

$$2a\left(a-3\right)$$

Ngā Upane Otinga

Tauwehea te 2.

$$2\left(a^{2}-3a\right)$$

Whakaarohia te a^{2}-3a. Tauwehea te a.

$$a\left(a-3\right)$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$2a\left(a-3\right)$$

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.

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

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.

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

Tuhia te pūtakerua o te \left(-6\right)^{2}.

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

Ko te tauaro o -6 ko 6.

$$a=\frac{6±6}{2\times 2}$$

Whakareatia 2 ki te 2.

$$a=\frac{6±6}{4}$$

Nā, me whakaoti te whārite a=\frac{6±6}{4} ina he tāpiri te ±. Tāpiri 6 ki te 6.

$$a=\frac{12}{4}$$

Whakawehe 12 ki te 4.

$$a=3$$

Nā, me whakaoti te whārite a=\frac{6±6}{4} ina he tango te ±. Tango 6 mai i 6.

$$a=\frac{0}{4}$$

Whakawehe 0 ki te 4.

$$a=0$$

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 3 mō te x_{1} me te 0 mō te x_{2}.

$$2a^{2}-6a=2\left(a-3\right)a$$

Aromātai

$$2a\left(a-3\right)$$