Whakaoti i te 3c^2+6c

$$3 c ^ { 2 } + 6 c$$

Tauwehe

$$3c\left(c+2\right)$$

Ngā Upane Otinga

Tauwehea te 3.

$$3\left(c^{2}+2c\right)$$

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

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

Me tuhi anō te kīanga whakatauwehe katoa.

$$3c\left(c+2\right)$$

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.

$$3c^{2}+6c=0$$

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.

$$c=\frac{-6±\sqrt{6^{2}}}{2\times 3}$$

Tuhia te pūtakerua o te 6^{2}.

$$c=\frac{-6±6}{2\times 3}$$

Whakareatia 2 ki te 3.

$$c=\frac{-6±6}{6}$$

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

$$c=\frac{0}{6}$$

Whakawehe 0 ki te 6.

$$c=0$$

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

$$c=-\frac{12}{6}$$

Whakawehe -12 ki te 6.

$$c=-2$$

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 0 mō te x_{1} me te -2 mō te x_{2}.

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

Whakamāmātia ngā kīanga katoa o te āhua p-\left(-q\right) ki te p+q.

$$3c^{2}+6c=3c\left(c+2\right)$$

Aromātai

$$3c\left(c+2\right)$$