Whakaoti i te 6a^2b+9ab-6b

$$6 a ^ { 2 } b + 9 a b - 6 b$$

Tauwehe

$$3b\left(2a-1\right)\left(a+2\right)$$

Ngā Upane Otinga

Tauwehea te 3.

$$3\left(2a^{2}b+3ab-2b\right)$$

Whakaarohia te 2a^{2}b+3ab-2b. Tauwehea te b.

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

Whakaarohia te 2a^{2}+3a-2. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei 2a^{2}+pa+qa-2. Hei kimi p me q, whakaritea tētahi pūnaha kia whakaoti.

$$p+q=3 pq=2\left(-2\right)=-4$$

I te mea kua tōraro te pq, he tauaro ngā tohu o p me q. I te mea kua tōrunga te p+q, 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 -4.

$$-1,4 -2,2$$

Tātaihia te tapeke mō ia takirua.

$$-1+4=3 -2+2=0$$

Ko te otinga te takirua ka hoatu i te tapeke 3.

$$p=-1 q=4$$

Tuhia anō te 2a^{2}+3a-2 hei \left(2a^{2}-a\right)+\left(4a-2\right).

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

Tauwehea te a i te tuatahi me te 2 i te rōpū tuarua.

$$a\left(2a-1\right)+2\left(2a-1\right)$$

Whakatauwehea atu te kīanga pātahi 2a-1 mā te whakamahi i te āhuatanga tātai tohatoha.

$$\left(2a-1\right)\left(a+2\right)$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$3b\left(2a-1\right)\left(a+2\right)$$

Aromātai

$$3b\left(2a-1\right)\left(a+2\right)$$