Whakaoti i te 5m^2+40m+3m+24

$$5 m ^ { 2 } + 40 m + 3 m + 24$$

Tauwehe

$$\left(m+8\right)\left(5m+3\right)$$

Ngā Upane Otinga

Whakarea ka paheko i ngā kīanga tau ōrite.

$$5m^{2}+43m+24$$

Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei 5m^{2}+am+bm+24. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.

$$a+b=43 ab=5\times 24=120$$

I te mea kua tōrunga te ab, he ōrite te tohu o a me b. I te mea kua tōrunga te a+b, he tōrunga hoki a a me b. Whakarārangitia ngā tau tōpū takirua pērā katoa ka hoatu i te hua 120.

$$1,120 2,60 3,40 4,30 5,24 6,20 8,15 10,12$$

Tātaihia te tapeke mō ia takirua.

$$1+120=121 2+60=62 3+40=43 4+30=34 5+24=29 6+20=26 8+15=23 10+12=22$$

Ko te otinga te takirua ka hoatu i te tapeke 43.

$$a=3 b=40$$

Tuhia anō te 5m^{2}+43m+24 hei \left(5m^{2}+3m\right)+\left(40m+24\right).

$$\left(5m^{2}+3m\right)+\left(40m+24\right)$$

Tauwehea te m i te tuatahi me te 8 i te rōpū tuarua.

$$m\left(5m+3\right)+8\left(5m+3\right)$$

Whakatauwehea atu te kīanga pātahi 5m+3 mā te whakamahi i te āhuatanga tātai tohatoha.

$$\left(5m+3\right)\left(m+8\right)$$

Aromātai

$$\left(m+8\right)\left(5m+3\right)$$

Ngā Upane Otinga

Pahekotia te 40m me 3m, ka 43m.

$$5m^{2}+43m+24$$