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x\left(x^{2}+6x-7\right)
Tauwehea te x.
a+b=6 ab=1\left(-7\right)=-7
Whakaarohia te x^{2}+6x-7. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei x^{2}+ax+bx-7. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
a=-1 b=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.
\left(x^{2}-x\right)+\left(7x-7\right)
Tuhia anō te x^{2}+6x-7 hei \left(x^{2}-x\right)+\left(7x-7\right).
x\left(x-1\right)+7\left(x-1\right)
Tauwehea te x i te tuatahi me te 7 i te rōpū tuarua.
\left(x-1\right)\left(x+7\right)
Whakatauwehea atu te kīanga pātahi x-1 mā te whakamahi i te āhuatanga tātai tohatoha.
x\left(x-1\right)\left(x+7\right)
Me tuhi anō te kīanga whakatauwehe katoa.