Whakaoti i te 2s^2-6s

$$2 s ^ { 2 } - 6 s$$

Tauwehe

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

Ngā Upane Otinga

Tauwehea te 2.

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

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

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

Me tuhi anō te kīanga whakatauwehe katoa.

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

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.

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

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.

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

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

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

Ko te tauaro o -6 ko 6.

$$s=\frac{6±6}{2\times 2}$$

Whakareatia 2 ki te 2.

$$s=\frac{6±6}{4}$$

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

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

Whakawehe 12 ki te 4.

$$s=3$$

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

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

Whakawehe 0 ki te 4.

$$s=0$$

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}.

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

Aromātai

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