Tauwehe
\left(2x+1\right)\left(4x+3\right)
Aromātai
\left(2x+1\right)\left(4x+3\right)
Graph
Tohaina
Kua tāruatia ki te papatopenga
8x^{2}+10x+3
Whakarea ka paheko i ngā kīanga tau ōrite.
a+b=10 ab=8\times 3=24
Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei 8x^{2}+ax+bx+3. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
1,24 2,12 3,8 4,6
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 24.
1+24=25 2+12=14 3+8=11 4+6=10
Tātaihia te tapeke mō ia takirua.
a=4 b=6
Ko te otinga te takirua ka hoatu i te tapeke 10.
\left(8x^{2}+4x\right)+\left(6x+3\right)
Tuhia anō te 8x^{2}+10x+3 hei \left(8x^{2}+4x\right)+\left(6x+3\right).
4x\left(2x+1\right)+3\left(2x+1\right)
Tauwehea te 4x i te tuatahi me te 3 i te rōpū tuarua.
\left(2x+1\right)\left(4x+3\right)
Whakatauwehea atu te kīanga pātahi 2x+1 mā te whakamahi i te āhuatanga tātai tohatoha.
8x^{2}+10x+3
Pahekotia te 6x me 4x, ka 10x.
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