Whakaoti i te -8x^2+3+9x^2-6-2x

$$- 8 x ^ { 2 } + 3 + 9 x ^ { 2 } - 6 - 2 x$$

Aromātai

$$\left(x-3\right)\left(x+1\right)$$

Ngā Upane Otinga

Pahekotia te -8x^{2} me 9x^{2}, ka x^{2}.

$$x^{2}+3-6-2x$$

Tangohia te 6 i te 3, ka -3.

$$x^{2}-3-2x$$

Tauwehe

$$\left(x-3\right)\left(x+1\right)$$

Ngā Upane Otinga

Whakarea ka paheko i ngā kīanga tau ōrite.

$$x^{2}-2x-3$$

Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei x^{2}+ax+bx-3. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.

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

I te mea kua tōraro te ab, he tauaro ngā tohu o a me b. I te mea kua tōraro te a+b, he nui ake te uara pū o te tau tōraro i tō te tōrunga. Ko te takirua anake pērā ko te otinga pūnaha.

$$a=-3 b=1$$

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

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

Whakatauwehea atu x i te x^{2}-3x.

$$x\left(x-3\right)+x-3$$

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

$$\left(x-3\right)\left(x+1\right)$$