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\frac{x^{2}-7x-8}{8}
Tauwehea te \frac{1}{8}.
a+b=-7 ab=1\left(-8\right)=-8
Whakaarohia te x^{2}-7x-8. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei x^{2}+ax+bx-8. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
1,-8 2,-4
I te mea kua tōraro te ab, he tauaro ngā tohu o a me b. I te mea kua tōraro te a+b, he nui ake te uara pū o te tau tōraro i tō te tōrunga. Whakarārangitia ngā tau tōpū takirua pērā katoa ka hoatu i te hua -8.
1-8=-7 2-4=-2
Tātaihia te tapeke mō ia takirua.
a=-8 b=1
Ko te otinga te takirua ka hoatu i te tapeke -7.
\left(x^{2}-8x\right)+\left(x-8\right)
Tuhia anō te x^{2}-7x-8 hei \left(x^{2}-8x\right)+\left(x-8\right).
x\left(x-8\right)+x-8
Whakatauwehea atu x i te x^{2}-8x.
\left(x-8\right)\left(x+1\right)
Whakatauwehea atu te kīanga pātahi x-8 mā te whakamahi i te āhuatanga tātai tohatoha.
\frac{\left(x-8\right)\left(x+1\right)}{8}
Me tuhi anō te kīanga whakatauwehe katoa.