Whakaoti i te (9)4x^2-8x-5

$$( 9 ) 4 x ^ { 2 } - 8 x - 5$$

Tauwehe

$$\left(2x-1\right)\left(18x+5\right)$$

Ngā Upane Otinga

Whakarea ka paheko i ngā kīanga tau ōrite.

$$36x^{2}-8x-5$$

Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei 36x^{2}+ax+bx-5. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.

$$a+b=-8 ab=36\left(-5\right)=-180$$

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. Whakarārangitia ngā tau tōpū takirua pērā katoa ka hoatu i te hua -180.

$$1,-180 2,-90 3,-60 4,-45 5,-36 6,-30 9,-20 10,-18 12,-15$$

Tātaihia te tapeke mō ia takirua.

$$1-180=-179 2-90=-88 3-60=-57 4-45=-41 5-36=-31 6-30=-24 9-20=-11 10-18=-8 12-15=-3$$

Ko te otinga te takirua ka hoatu i te tapeke -8.

$$a=-18 b=10$$

Tuhia anō te 36x^{2}-8x-5 hei \left(36x^{2}-18x\right)+\left(10x-5\right).

$$\left(36x^{2}-18x\right)+\left(10x-5\right)$$

Tauwehea te 18x i te tuatahi me te 5 i te rōpū tuarua.

$$18x\left(2x-1\right)+5\left(2x-1\right)$$

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

$$\left(2x-1\right)\left(18x+5\right)$$

Aromātai

$$\left(2x-1\right)\left(18x+5\right)$$

Ngā Upane Otinga

Whakareatia te 9 ki te 4, ka 36.

$$36x^{2}-8x-5$$