Baholash
3\left(w-8\right)\left(3w-8\right)^{2}
Kengaytirish
27w^{3}-360w^{2}+1344w-1536
Baham ko'rish
Klipbordga nusxa olish
\frac{81w-216}{9}\left(w-8\right)\left(3w-8\right)
27 ga 3w-8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{\left(81w-216\right)\left(w-8\right)}{9}\left(3w-8\right)
\frac{81w-216}{9}\left(w-8\right) ni yagona kasrga aylantiring.
\frac{\left(81w-216\right)\left(w-8\right)\left(3w-8\right)}{9}
\frac{\left(81w-216\right)\left(w-8\right)}{9}\left(3w-8\right) ni yagona kasrga aylantiring.
\frac{\left(81w^{2}-648w-216w+1728\right)\left(3w-8\right)}{9}
81w-216 ifodaning har bir elementini w-8 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.
\frac{\left(81w^{2}-864w+1728\right)\left(3w-8\right)}{9}
-864w ni olish uchun -648w va -216w ni birlashtirish.
\frac{243w^{3}-648w^{2}-2592w^{2}+6912w+5184w-13824}{9}
81w^{2}-864w+1728 ifodaning har bir elementini 3w-8 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.
\frac{243w^{3}-3240w^{2}+6912w+5184w-13824}{9}
-3240w^{2} ni olish uchun -648w^{2} va -2592w^{2} ni birlashtirish.
\frac{243w^{3}-3240w^{2}+12096w-13824}{9}
12096w ni olish uchun 6912w va 5184w ni birlashtirish.
\frac{81w-216}{9}\left(w-8\right)\left(3w-8\right)
27 ga 3w-8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{\left(81w-216\right)\left(w-8\right)}{9}\left(3w-8\right)
\frac{81w-216}{9}\left(w-8\right) ni yagona kasrga aylantiring.
\frac{\left(81w-216\right)\left(w-8\right)\left(3w-8\right)}{9}
\frac{\left(81w-216\right)\left(w-8\right)}{9}\left(3w-8\right) ni yagona kasrga aylantiring.
\frac{\left(81w^{2}-648w-216w+1728\right)\left(3w-8\right)}{9}
81w-216 ifodaning har bir elementini w-8 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.
\frac{\left(81w^{2}-864w+1728\right)\left(3w-8\right)}{9}
-864w ni olish uchun -648w va -216w ni birlashtirish.
\frac{243w^{3}-648w^{2}-2592w^{2}+6912w+5184w-13824}{9}
81w^{2}-864w+1728 ifodaning har bir elementini 3w-8 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.
\frac{243w^{3}-3240w^{2}+6912w+5184w-13824}{9}
-3240w^{2} ni olish uchun -648w^{2} va -2592w^{2} ni birlashtirish.
\frac{243w^{3}-3240w^{2}+12096w-13824}{9}
12096w ni olish uchun 6912w va 5184w ni birlashtirish.
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}