Tauwehe
\left(2x+1\right)\left(5x+2\right)
Aromātai
\left(2x+1\right)\left(5x+2\right)
Graph
Tohaina
Kua tāruatia ki te papatopenga
10x^{2}+9x+2
Whakarea ka paheko i ngā kīanga tau ōrite.
a+b=9 ab=10\times 2=20
Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei 10x^{2}+ax+bx+2. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
1,20 2,10 4,5
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. Whakarārangitia ngā tau tōpū takirua pērā katoa ka hoatu i te hua 20.
1+20=21 2+10=12 4+5=9
Tātaihia te tapeke mō ia takirua.
a=4 b=5
Ko te otinga te takirua ka hoatu i te tapeke 9.
\left(10x^{2}+4x\right)+\left(5x+2\right)
Tuhia anō te 10x^{2}+9x+2 hei \left(10x^{2}+4x\right)+\left(5x+2\right).
2x\left(5x+2\right)+5x+2
Whakatauwehea atu 2x i te 10x^{2}+4x.
\left(5x+2\right)\left(2x+1\right)
Whakatauwehea atu te kīanga pātahi 5x+2 mā te whakamahi i te āhuatanga tātai tohatoha.
10x^{2}+9x+2
Pahekotia te 5x me 4x, ka 9x.
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\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}