Whakaoti i te 4k^2-8k

$$4 k ^ { 2 } - 8 k$$

Tauwehe

$$4k\left(k-2\right)$$

Ngā Upane Otinga

Tauwehea te 4.

$$4\left(k^{2}-2k\right)$$

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

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

Me tuhi anō te kīanga whakatauwehe katoa.

$$4k\left(k-2\right)$$

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.

$$4k^{2}-8k=0$$

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.

$$k=\frac{-\left(-8\right)±\sqrt{\left(-8\right)^{2}}}{2\times 4}$$

Tuhia te pūtakerua o te \left(-8\right)^{2}.

$$k=\frac{-\left(-8\right)±8}{2\times 4}$$

Ko te tauaro o -8 ko 8.

$$k=\frac{8±8}{2\times 4}$$

Whakareatia 2 ki te 4.

$$k=\frac{8±8}{8}$$

Nā, me whakaoti te whārite k=\frac{8±8}{8} ina he tāpiri te ±. Tāpiri 8 ki te 8.

$$k=\frac{16}{8}$$

Whakawehe 16 ki te 8.

$$k=2$$

Nā, me whakaoti te whārite k=\frac{8±8}{8} ina he tango te ±. Tango 8 mai i 8.

$$k=\frac{0}{8}$$

Whakawehe 0 ki te 8.

$$k=0$$

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}.

$$4k^{2}-8k=4\left(k-2\right)k$$

Aromātai

$$4k\left(k-2\right)$$