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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

2x^{2}-4x-3-3
Pahekotia te -5x me x, ka -4x.
2x^{2}-4x-6
Tangohia te 3 i te -3, ka -6.
2x^{2}-4x-6
Whakarea ka paheko i ngā kīanga tau ōrite.
2\left(x^{2}-2x-3\right)
Tauwehea te 2.
a+b=-2 ab=1\left(-3\right)=-3
Whakaarohia te x^{2}-2x-3. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei x^{2}+ax+bx-3. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
a=-3 b=1
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. Ko te takirua anake pērā ko te otinga pūnaha.
\left(x^{2}-3x\right)+\left(x-3\right)
Tuhia anō te x^{2}-2x-3 hei \left(x^{2}-3x\right)+\left(x-3\right).
x\left(x-3\right)+x-3
Whakatauwehea atu x i te x^{2}-3x.
\left(x-3\right)\left(x+1\right)
Whakatauwehea atu te kīanga pātahi x-3 mā te whakamahi i te āhuatanga tātai tohatoha.
2\left(x-3\right)\left(x+1\right)
Me tuhi anō te kīanga whakatauwehe katoa.