Omil
\left(x-1\right)\left(x+3\right)\left(x^{2}+x+1\right)
Baholash
\left(x+3\right)\left(x^{3}-1\right)
Grafik
Viktorina
Polynomial
5xshash muammolar:
x ^ { 4 } + 3 x ^ { 3 } - x - 3 . x ^ { 3 } + x ^ { 2 } - 5 x + 3
Baham ko'rish
Klipbordga nusxa olish
x^{3}\left(x+3\right)-\left(x+3\right)
x^{4}+3x^{3}-x-3=\left(x^{4}+3x^{3}\right)+\left(-x-3\right) misolini guruhlang hamda x^{3} ni birinchi va -1 ni ikkinchi guruhdan ajrating.
\left(x+3\right)\left(x^{3}-1\right)
Distributiv funktsiyasidan foydalangan holda x+3 umumiy terminini chiqaring.
\left(x-1\right)\left(x^{2}+x+1\right)
Hisoblang: x^{3}-1. x^{3}-1 ni x^{3}-1^{3} sifatida qaytadan yozish. Kublarning farqini ushbu formula bilan hisoblash mumkin: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right).
\left(x-1\right)\left(x^{2}+x+1\right)\left(x+3\right)
Toʻliq ajratilgan ifodani qaytadan yozing. Koʻphadli x^{2}+x+1 faktorlanmagan, chunki unda ratsional ildizlar topilmadi.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\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]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}