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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

-g^{2}+4g-4
Whakarea ka paheko i ngā kīanga tau ōrite.
a+b=4 ab=-\left(-4\right)=4
Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei -g^{2}+ag+bg-4. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
1,4 2,2
I te mea kua tōrunga te ab, he ōrite te tohu o a me b. I te mea kua tōrunga te a+b, he tōrunga hoki a a me b. Whakarārangitia ngā tau tōpū takirua pērā katoa ka hoatu i te hua 4.
1+4=5 2+2=4
Tātaihia te tapeke mō ia takirua.
a=2 b=2
Ko te otinga te takirua ka hoatu i te tapeke 4.
\left(-g^{2}+2g\right)+\left(2g-4\right)
Tuhia anō te -g^{2}+4g-4 hei \left(-g^{2}+2g\right)+\left(2g-4\right).
-g\left(g-2\right)+2\left(g-2\right)
Tauwehea te -g i te tuatahi me te 2 i te rōpū tuarua.
\left(g-2\right)\left(-g+2\right)
Whakatauwehea atu te kīanga pātahi g-2 mā te whakamahi i te āhuatanga tātai tohatoha.
4g-g^{2}-4
Pahekotia te g me 3g, ka 4g.