Whakaoti i te 8c^3+26c^2-24c

$$8 c ^ { 3 } + 26 c ^ { 2 } - 24 c$$

Tauwehe

$$2c\left(4c-3\right)\left(c+4\right)$$

Ngā Upane Otinga

Tauwehea te 2.

$$2\left(4c^{3}+13c^{2}-12c\right)$$

Whakaarohia te 4c^{3}+13c^{2}-12c. Tauwehea te c.

$$c\left(4c^{2}+13c-12\right)$$

Whakaarohia te 4c^{2}+13c-12. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei 4c^{2}+ac+bc-12. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.

$$a+b=13 ab=4\left(-12\right)=-48$$

I te mea kua tōraro te ab, he tauaro ngā tohu o a me b. I te mea kua tōrunga te a+b, he nui ake te uara pū o te tau tōrunga i tō te tōraro. Whakarārangitia ngā tau tōpū takirua pērā katoa ka hoatu i te hua -48.

$$-1,48 -2,24 -3,16 -4,12 -6,8$$

Tātaihia te tapeke mō ia takirua.

$$-1+48=47 -2+24=22 -3+16=13 -4+12=8 -6+8=2$$

Ko te otinga te takirua ka hoatu i te tapeke 13.

$$a=-3 b=16$$

Tuhia anō te 4c^{2}+13c-12 hei \left(4c^{2}-3c\right)+\left(16c-12\right).

$$\left(4c^{2}-3c\right)+\left(16c-12\right)$$

Tauwehea te c i te tuatahi me te 4 i te rōpū tuarua.

$$c\left(4c-3\right)+4\left(4c-3\right)$$

Whakatauwehea atu te kīanga pātahi 4c-3 mā te whakamahi i te āhuatanga tātai tohatoha.

$$\left(4c-3\right)\left(c+4\right)$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$2c\left(4c-3\right)\left(c+4\right)$$

Aromātai

$$2c\left(4c-3\right)\left(c+4\right)$$