Whakaoti i te 15a-3a^2

$$15 a - 3 a ^ { 2 }$$

Tauwehe

$$3a\left(5-a\right)$$

Ngā Upane Otinga

Tauwehea te 3.

$$3\left(5a-a^{2}\right)$$

Whakaarohia te 5a-a^{2}. Tauwehea te a.

$$a\left(5-a\right)$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$3a\left(-a+5\right)$$

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.

$$-3a^{2}+15a=0$$

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.

$$a=\frac{-15±\sqrt{15^{2}}}{2\left(-3\right)}$$

Tuhia te pūtakerua o te 15^{2}.

$$a=\frac{-15±15}{2\left(-3\right)}$$

Whakareatia 2 ki te -3.

$$a=\frac{-15±15}{-6}$$

Nā, me whakaoti te whārite a=\frac{-15±15}{-6} ina he tāpiri te ±. Tāpiri -15 ki te 15.

$$a=\frac{0}{-6}$$

Whakawehe 0 ki te -6.

$$a=0$$

Nā, me whakaoti te whārite a=\frac{-15±15}{-6} ina he tango te ±. Tango 15 mai i -15.

$$a=-\frac{30}{-6}$$

Whakawehe -30 ki te -6.

$$a=5$$

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 5 mō te x_{2}.

$$-3a^{2}+15a=-3a\left(a-5\right)$$

Aromātai

$$3a\left(5-a\right)$$