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Tohaina

\frac{-a^{2}+4a-4}{2}
Tauwehea te \frac{1}{2}.
p+q=4 pq=-\left(-4\right)=4
Whakaarohia te -a^{2}+4a-4. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei -a^{2}+pa+qa-4. Hei kimi p me q, whakaritea tētahi pūnaha kia whakaoti.
1,4 2,2
I te mea kua tōrunga te pq, he ōrite te tohu o p me q. I te mea kua tōrunga te p+q, he tōrunga hoki a p me q. 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.
p=2 q=2
Ko te otinga te takirua ka hoatu i te tapeke 4.
\left(-a^{2}+2a\right)+\left(2a-4\right)
Tuhia anō te -a^{2}+4a-4 hei \left(-a^{2}+2a\right)+\left(2a-4\right).
-a\left(a-2\right)+2\left(a-2\right)
Tauwehea te -a i te tuatahi me te 2 i te rōpū tuarua.
\left(a-2\right)\left(-a+2\right)
Whakatauwehea atu te kīanga pātahi a-2 mā te whakamahi i te āhuatanga tātai tohatoha.
\frac{\left(a-2\right)\left(-a+2\right)}{2}
Me tuhi anō te kīanga whakatauwehe katoa.