Whakaoti i te 6m^2-3m+2-m^2-(-4m)-6

$$6 m ^ { 2 } - 3 m + 2 - m ^ { 2 } - ( - 4 m ) - 6$$

Aromātai

$$\left(5m-4\right)\left(m+1\right)$$

Ngā Upane Otinga

Pahekotia te 6m^{2} me -m^{2}, ka 5m^{2}.

$$5m^{2}-3m+2-\left(-4m\right)-6$$

Ko te tauaro o -4m ko 4m.

$$5m^{2}-3m+2+4m-6$$

Pahekotia te -3m me 4m, ka m.

$$5m^{2}+m+2-6$$

Tangohia te 6 i te 2, ka -4.

$$5m^{2}+m-4$$

Tauwehe

$$\left(5m-4\right)\left(m+1\right)$$

Ngā Upane Otinga

Whakarea ka paheko i ngā kīanga tau ōrite.

$$5m^{2}+m-4$$

Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei 5m^{2}+am+bm-4. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.

$$a+b=1 ab=5\left(-4\right)=-20$$

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 -20.

$$-1,20 -2,10 -4,5$$

Tātaihia te tapeke mō ia takirua.

$$-1+20=19 -2+10=8 -4+5=1$$

Ko te otinga te takirua ka hoatu i te tapeke 1.

$$a=-4 b=5$$

Tuhia anō te 5m^{2}+m-4 hei \left(5m^{2}-4m\right)+\left(5m-4\right).

$$\left(5m^{2}-4m\right)+\left(5m-4\right)$$

Whakatauwehea atu m i te 5m^{2}-4m.

$$m\left(5m-4\right)+5m-4$$

Whakatauwehea atu te kīanga pātahi 5m-4 mā te whakamahi i te āhuatanga tātai tohatoha.

$$\left(5m-4\right)\left(m+1\right)$$