Whakaoti i te 9c^2+36c

$$9 c ^ { 2 } + 36 c$$

Tauwehe

$$9c\left(c+4\right)$$

Ngā Upane Otinga

Tauwehea te 9.

$$9\left(c^{2}+4c\right)$$

Whakaarohia te c^{2}+4c. Tauwehea te c.

$$c\left(c+4\right)$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$9c\left(c+4\right)$$

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.

$$9c^{2}+36c=0$$

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.

$$c=\frac{-36±\sqrt{36^{2}}}{2\times 9}$$

Tuhia te pūtakerua o te 36^{2}.

$$c=\frac{-36±36}{2\times 9}$$

Whakareatia 2 ki te 9.

$$c=\frac{-36±36}{18}$$

Nā, me whakaoti te whārite c=\frac{-36±36}{18} ina he tāpiri te ±. Tāpiri -36 ki te 36.

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

Whakawehe 0 ki te 18.

$$c=0$$

Nā, me whakaoti te whārite c=\frac{-36±36}{18} ina he tango te ±. Tango 36 mai i -36.

$$c=-\frac{72}{18}$$

Whakawehe -72 ki te 18.

$$c=-4$$

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 -4 mō te x_{2}.

$$9c^{2}+36c=9c\left(c-\left(-4\right)\right)$$

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

$$9c^{2}+36c=9c\left(c+4\right)$$

Aromātai

$$9c\left(c+4\right)$$