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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

2\left(x^{2}z+6xz+5z\right)
Tauwehea te 2.
z\left(x^{2}+6x+5\right)
Whakaarohia te x^{2}z+6xz+5z. Tauwehea te z.
a+b=6 ab=1\times 5=5
Whakaarohia te x^{2}+6x+5. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei x^{2}+ax+bx+5. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
a=1 b=5
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. Ko te takirua anake pērā ko te otinga pūnaha.
\left(x^{2}+x\right)+\left(5x+5\right)
Tuhia anō te x^{2}+6x+5 hei \left(x^{2}+x\right)+\left(5x+5\right).
x\left(x+1\right)+5\left(x+1\right)
Tauwehea te x i te tuatahi me te 5 i te rōpū tuarua.
\left(x+1\right)\left(x+5\right)
Whakatauwehea atu te kīanga pātahi x+1 mā te whakamahi i te āhuatanga tātai tohatoha.
2z\left(x+1\right)\left(x+5\right)
Me tuhi anō te kīanga whakatauwehe katoa.