Whakaoti i te m^3-13m^2+30m

$$m ^ { 3 } - 13 m ^ { 2 } + 30 m$$

Tauwehe

$$m\left(m-10\right)\left(m-3\right)$$

Ngā Upane Otinga

Tauwehea te m.

$$m\left(m^{2}-13m+30\right)$$

Whakaarohia te m^{2}-13m+30. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei m^{2}+am+bm+30. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.

$$a+b=-13 ab=1\times 30=30$$

I te mea kua tōrunga te ab, he ōrite te tohu o a me b. I te mea kua tōraro te a+b, he tōraro hoki a a me b. Whakarārangitia ngā tau tōpū takirua pērā katoa ka hoatu i te hua 30.

$$-1,-30 -2,-15 -3,-10 -5,-6$$

Tātaihia te tapeke mō ia takirua.

$$-1-30=-31 -2-15=-17 -3-10=-13 -5-6=-11$$

Ko te otinga te takirua ka hoatu i te tapeke -13.

$$a=-10 b=-3$$

Tuhia anō te m^{2}-13m+30 hei \left(m^{2}-10m\right)+\left(-3m+30\right).

$$\left(m^{2}-10m\right)+\left(-3m+30\right)$$

Tauwehea te m i te tuatahi me te -3 i te rōpū tuarua.

$$m\left(m-10\right)-3\left(m-10\right)$$

Whakatauwehea atu te kīanga pātahi m-10 mā te whakamahi i te āhuatanga tātai tohatoha.

$$\left(m-10\right)\left(m-3\right)$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$m\left(m-10\right)\left(m-3\right)$$

Aromātai

$$m\left(m-10\right)\left(m-3\right)$$