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Tohaina

\frac{x^{3}-3x^{2}+2x}{2}
Tauwehea te \frac{1}{2}.
x\left(x^{2}-3x+2\right)
Whakaarohia te x^{3}-3x^{2}+2x. Tauwehea te x.
a+b=-3 ab=1\times 2=2
Whakaarohia te x^{2}-3x+2. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei x^{2}+ax+bx+2. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
a=-2 b=-1
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. Ko te takirua anake pērā ko te otinga pūnaha.
\left(x^{2}-2x\right)+\left(-x+2\right)
Tuhia anō te x^{2}-3x+2 hei \left(x^{2}-2x\right)+\left(-x+2\right).
x\left(x-2\right)-\left(x-2\right)
Tauwehea te x i te tuatahi me te -1 i te rōpū tuarua.
\left(x-2\right)\left(x-1\right)
Whakatauwehea atu te kīanga pātahi x-2 mā te whakamahi i te āhuatanga tātai tohatoha.
\frac{x\left(x-2\right)\left(x-1\right)}{2}
Me tuhi anō te kīanga whakatauwehe katoa.