Baholash
\frac{4t\left(15-2t\right)}{5}
Kengaytirish
-\frac{8t^{2}}{5}+12t
Viktorina
Polynomial
5xshash muammolar:
t \cdot \frac { 4 } { 5 } ( 30 - 4 t ) \cdot \frac { 1 } { 2 }
Baham ko'rish
Klipbordga nusxa olish
t\times \frac{4\times 1}{5\times 2}\left(30-4t\right)
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{5} ni \frac{1}{2} ga ko‘paytiring.
t\times \frac{4}{10}\left(30-4t\right)
\frac{4\times 1}{5\times 2} kasridagi ko‘paytirishlarni bajaring.
t\times \frac{2}{5}\left(30-4t\right)
\frac{4}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
t\times \frac{2}{5}\times 30+t\times \frac{2}{5}\left(-4\right)t
t\times \frac{2}{5} ga 30-4t ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
t\times \frac{2}{5}\times 30+t^{2}\times \frac{2}{5}\left(-4\right)
t^{2} hosil qilish uchun t va t ni ko'paytirish.
t\times \frac{2\times 30}{5}+t^{2}\times \frac{2}{5}\left(-4\right)
\frac{2}{5}\times 30 ni yagona kasrga aylantiring.
t\times \frac{60}{5}+t^{2}\times \frac{2}{5}\left(-4\right)
60 hosil qilish uchun 2 va 30 ni ko'paytirish.
t\times 12+t^{2}\times \frac{2}{5}\left(-4\right)
12 ni olish uchun 60 ni 5 ga bo‘ling.
t\times 12+t^{2}\times \frac{2\left(-4\right)}{5}
\frac{2}{5}\left(-4\right) ni yagona kasrga aylantiring.
t\times 12+t^{2}\times \frac{-8}{5}
-8 hosil qilish uchun 2 va -4 ni ko'paytirish.
t\times 12+t^{2}\left(-\frac{8}{5}\right)
\frac{-8}{5} kasri manfiy belgini olib tashlash bilan -\frac{8}{5} sifatida qayta yozilishi mumkin.
t\times \frac{4\times 1}{5\times 2}\left(30-4t\right)
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{5} ni \frac{1}{2} ga ko‘paytiring.
t\times \frac{4}{10}\left(30-4t\right)
\frac{4\times 1}{5\times 2} kasridagi ko‘paytirishlarni bajaring.
t\times \frac{2}{5}\left(30-4t\right)
\frac{4}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
t\times \frac{2}{5}\times 30+t\times \frac{2}{5}\left(-4\right)t
t\times \frac{2}{5} ga 30-4t ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
t\times \frac{2}{5}\times 30+t^{2}\times \frac{2}{5}\left(-4\right)
t^{2} hosil qilish uchun t va t ni ko'paytirish.
t\times \frac{2\times 30}{5}+t^{2}\times \frac{2}{5}\left(-4\right)
\frac{2}{5}\times 30 ni yagona kasrga aylantiring.
t\times \frac{60}{5}+t^{2}\times \frac{2}{5}\left(-4\right)
60 hosil qilish uchun 2 va 30 ni ko'paytirish.
t\times 12+t^{2}\times \frac{2}{5}\left(-4\right)
12 ni olish uchun 60 ni 5 ga bo‘ling.
t\times 12+t^{2}\times \frac{2\left(-4\right)}{5}
\frac{2}{5}\left(-4\right) ni yagona kasrga aylantiring.
t\times 12+t^{2}\times \frac{-8}{5}
-8 hosil qilish uchun 2 va -4 ni ko'paytirish.
t\times 12+t^{2}\left(-\frac{8}{5}\right)
\frac{-8}{5} kasri manfiy belgini olib tashlash bilan -\frac{8}{5} sifatida qayta yozilishi mumkin.
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}