Whakaoti i te 5m^3+30m^2-35m

$$5 m ^ { 3 } + 30 m ^ { 2 } - 35 m$$

Tauwehe

$$5m\left(m-1\right)\left(m+7\right)$$

Ngā Upane Otinga

Tauwehea te 5.

$$5\left(m^{3}+6m^{2}-7m\right)$$

Whakaarohia te m^{3}+6m^{2}-7m. Tauwehea te m.

$$m\left(m^{2}+6m-7\right)$$

Whakaarohia te m^{2}+6m-7. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei m^{2}+am+bm-7. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.

$$a+b=6 ab=1\left(-7\right)=-7$$

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. Ko te takirua anake pērā ko te otinga pūnaha.

$$a=-1 b=7$$

Tuhia anō te m^{2}+6m-7 hei \left(m^{2}-m\right)+\left(7m-7\right).

$$\left(m^{2}-m\right)+\left(7m-7\right)$$

Tauwehea te m i te tuatahi me te 7 i te rōpū tuarua.

$$m\left(m-1\right)+7\left(m-1\right)$$

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

$$\left(m-1\right)\left(m+7\right)$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$5m\left(m-1\right)\left(m+7\right)$$

Aromātai

$$5m\left(m-1\right)\left(m+7\right)$$