Aromātai
\frac{\left(1-2x\right)\left(3x-4\right)\left(x-2\right)^{3}}{2}
Whakaroha
-3x^{5}+\frac{47x^{4}}{2}-71x^{3}+102x^{2}-68x+16
Graph
Pātaitai
Polynomial
5 raruraru e ōrite ana ki:
( 3 x - 4 ) ( - x + \frac { 1 } { 2 } ) ( x - 2 ) ^ { 3 }
Tohaina
Kua tāruatia ki te papatopenga
\left(3x-4\right)\left(-x+\frac{1}{2}\right)\left(x^{3}-6x^{2}+12x-8\right)
Whakamahia te ture huarua \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} hei whakaroha \left(x-2\right)^{3}.
\left(3x\left(-x\right)+\frac{3}{2}x-4\left(-x\right)-2\right)\left(x^{3}-6x^{2}+12x-8\right)
Whakamahia te āhuatanga tohatoha hei whakarea te 3x-4 ki te -x+\frac{1}{2}.
\left(3x\left(-x\right)+\frac{3}{2}x+4x-2\right)\left(x^{3}-6x^{2}+12x-8\right)
Whakareatia te -4 ki te -1, ka 4.
\left(3x\left(-x\right)+\frac{11}{2}x-2\right)\left(x^{3}-6x^{2}+12x-8\right)
Pahekotia te \frac{3}{2}x me 4x, ka \frac{11}{2}x.
3\left(-x\right)x^{4}-18x^{3}\left(-x\right)+36x^{2}\left(-x\right)-24x\left(-x\right)+\frac{11}{2}x^{4}-35x^{3}+78x^{2}-68x+16
Whakamahia te āhuatanga tuaritanga hei whakarea te 3x\left(-x\right)+\frac{11}{2}x-2 ki te x^{3}-6x^{2}+12x-8 ka whakakotahi i ngā kupu rite.
3\left(-x\right)x^{4}+18x^{3}x+36x^{2}\left(-x\right)-24x\left(-x\right)+\frac{11}{2}x^{4}-35x^{3}+78x^{2}-68x+16
Whakareatia te -18 ki te -1, ka 18.
3\left(-x\right)x^{4}+18x^{4}+36x^{2}\left(-x\right)-24x\left(-x\right)+\frac{11}{2}x^{4}-35x^{3}+78x^{2}-68x+16
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 1 kia riro ai te 4.
3\left(-x\right)x^{4}+18x^{4}+36x^{2}\left(-x\right)+24xx+\frac{11}{2}x^{4}-35x^{3}+78x^{2}-68x+16
Whakareatia te -24 ki te -1, ka 24.
3\left(-x\right)x^{4}+18x^{4}+36x^{2}\left(-x\right)+24x^{2}+\frac{11}{2}x^{4}-35x^{3}+78x^{2}-68x+16
Whakareatia te x ki te x, ka x^{2}.
3\left(-x\right)x^{4}+\frac{47}{2}x^{4}+36x^{2}\left(-x\right)+24x^{2}-35x^{3}+78x^{2}-68x+16
Pahekotia te 18x^{4} me \frac{11}{2}x^{4}, ka \frac{47}{2}x^{4}.
3\left(-x\right)x^{4}+\frac{47}{2}x^{4}+36x^{2}\left(-x\right)+102x^{2}-35x^{3}-68x+16
Pahekotia te 24x^{2} me 78x^{2}, ka 102x^{2}.
-3xx^{4}+\frac{47}{2}x^{4}+36x^{2}\left(-1\right)x+102x^{2}-35x^{3}-68x+16
Whakareatia te 3 ki te -1, ka -3.
-3x^{5}+\frac{47}{2}x^{4}+36x^{2}\left(-1\right)x+102x^{2}-35x^{3}-68x+16
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 4 kia riro ai te 5.
-3x^{5}+\frac{47}{2}x^{4}+36x^{3}\left(-1\right)+102x^{2}-35x^{3}-68x+16
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.
-3x^{5}+\frac{47}{2}x^{4}-36x^{3}+102x^{2}-35x^{3}-68x+16
Whakareatia te 36 ki te -1, ka -36.
-3x^{5}+\frac{47}{2}x^{4}-71x^{3}+102x^{2}-68x+16
Pahekotia te -36x^{3} me -35x^{3}, ka -71x^{3}.
\left(3x-4\right)\left(-x+\frac{1}{2}\right)\left(x^{3}-6x^{2}+12x-8\right)
Whakamahia te ture huarua \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} hei whakaroha \left(x-2\right)^{3}.
\left(3x\left(-x\right)+\frac{3}{2}x-4\left(-x\right)-2\right)\left(x^{3}-6x^{2}+12x-8\right)
Whakamahia te āhuatanga tohatoha hei whakarea te 3x-4 ki te -x+\frac{1}{2}.
\left(3x\left(-x\right)+\frac{3}{2}x+4x-2\right)\left(x^{3}-6x^{2}+12x-8\right)
Whakareatia te -4 ki te -1, ka 4.
\left(3x\left(-x\right)+\frac{11}{2}x-2\right)\left(x^{3}-6x^{2}+12x-8\right)
Pahekotia te \frac{3}{2}x me 4x, ka \frac{11}{2}x.
3\left(-x\right)x^{4}-18x^{3}\left(-x\right)+36x^{2}\left(-x\right)-24x\left(-x\right)+\frac{11}{2}x^{4}-35x^{3}+78x^{2}-68x+16
Whakamahia te āhuatanga tuaritanga hei whakarea te 3x\left(-x\right)+\frac{11}{2}x-2 ki te x^{3}-6x^{2}+12x-8 ka whakakotahi i ngā kupu rite.
3\left(-x\right)x^{4}+18x^{3}x+36x^{2}\left(-x\right)-24x\left(-x\right)+\frac{11}{2}x^{4}-35x^{3}+78x^{2}-68x+16
Whakareatia te -18 ki te -1, ka 18.
3\left(-x\right)x^{4}+18x^{4}+36x^{2}\left(-x\right)-24x\left(-x\right)+\frac{11}{2}x^{4}-35x^{3}+78x^{2}-68x+16
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 1 kia riro ai te 4.
3\left(-x\right)x^{4}+18x^{4}+36x^{2}\left(-x\right)+24xx+\frac{11}{2}x^{4}-35x^{3}+78x^{2}-68x+16
Whakareatia te -24 ki te -1, ka 24.
3\left(-x\right)x^{4}+18x^{4}+36x^{2}\left(-x\right)+24x^{2}+\frac{11}{2}x^{4}-35x^{3}+78x^{2}-68x+16
Whakareatia te x ki te x, ka x^{2}.
3\left(-x\right)x^{4}+\frac{47}{2}x^{4}+36x^{2}\left(-x\right)+24x^{2}-35x^{3}+78x^{2}-68x+16
Pahekotia te 18x^{4} me \frac{11}{2}x^{4}, ka \frac{47}{2}x^{4}.
3\left(-x\right)x^{4}+\frac{47}{2}x^{4}+36x^{2}\left(-x\right)+102x^{2}-35x^{3}-68x+16
Pahekotia te 24x^{2} me 78x^{2}, ka 102x^{2}.
-3xx^{4}+\frac{47}{2}x^{4}+36x^{2}\left(-1\right)x+102x^{2}-35x^{3}-68x+16
Whakareatia te 3 ki te -1, ka -3.
-3x^{5}+\frac{47}{2}x^{4}+36x^{2}\left(-1\right)x+102x^{2}-35x^{3}-68x+16
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 4 kia riro ai te 5.
-3x^{5}+\frac{47}{2}x^{4}+36x^{3}\left(-1\right)+102x^{2}-35x^{3}-68x+16
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.
-3x^{5}+\frac{47}{2}x^{4}-36x^{3}+102x^{2}-35x^{3}-68x+16
Whakareatia te 36 ki te -1, ka -36.
-3x^{5}+\frac{47}{2}x^{4}-71x^{3}+102x^{2}-68x+16
Pahekotia te -36x^{3} me -35x^{3}, ka -71x^{3}.
Ngā Tauira
whārite tapawhā
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
whārite paerangi
y = 3x + 4
Arithmetic
699 * 533
Poukapa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
whārite Simultaneous
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Whakarerekētanga
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Whakaurunga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Ngā Tepe
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}