Whakaoti i te 9c^2-18c

$$9 c ^ { 2 } - 18 c$$

Tauwehe

$$9c\left(c-2\right)$$

Ngā Upane Otinga

Tauwehea te 9.

$$9\left(c^{2}-2c\right)$$

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

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

Me tuhi anō te kīanga whakatauwehe katoa.

$$9c\left(c-2\right)$$

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.

$$9c^{2}-18c=0$$

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.

$$c=\frac{-\left(-18\right)±\sqrt{\left(-18\right)^{2}}}{2\times 9}$$

Tuhia te pūtakerua o te \left(-18\right)^{2}.

$$c=\frac{-\left(-18\right)±18}{2\times 9}$$

Ko te tauaro o -18 ko 18.

$$c=\frac{18±18}{2\times 9}$$

Whakareatia 2 ki te 9.

$$c=\frac{18±18}{18}$$

Nā, me whakaoti te whārite c=\frac{18±18}{18} ina he tāpiri te ±. Tāpiri 18 ki te 18.

$$c=\frac{36}{18}$$

Whakawehe 36 ki te 18.

$$c=2$$

Nā, me whakaoti te whārite c=\frac{18±18}{18} ina he tango te ±. Tango 18 mai i 18.

$$c=\frac{0}{18}$$

Whakawehe 0 ki te 18.

$$c=0$$

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}.

$$9c^{2}-18c=9\left(c-2\right)c$$

Aromātai

$$9c\left(c-2\right)$$