Baholash
\frac{3x\left(10-x\right)}{4}
Kengaytirish
-\frac{3x^{2}}{4}+\frac{15x}{2}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{1\times 3}{2\times 2}\left(10-x\right)x
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{3}{2} ga ko‘paytiring.
\frac{3}{4}\left(10-x\right)x
\frac{1\times 3}{2\times 2} kasridagi ko‘paytirishlarni bajaring.
\left(\frac{3}{4}\times 10+\frac{3}{4}\left(-1\right)x\right)x
\frac{3}{4} ga 10-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\left(\frac{3\times 10}{4}+\frac{3}{4}\left(-1\right)x\right)x
\frac{3}{4}\times 10 ni yagona kasrga aylantiring.
\left(\frac{30}{4}+\frac{3}{4}\left(-1\right)x\right)x
30 hosil qilish uchun 3 va 10 ni ko'paytirish.
\left(\frac{15}{2}+\frac{3}{4}\left(-1\right)x\right)x
\frac{30}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
\left(\frac{15}{2}-\frac{3}{4}x\right)x
-\frac{3}{4} hosil qilish uchun \frac{3}{4} va -1 ni ko'paytirish.
\frac{15}{2}x-\frac{3}{4}xx
\frac{15}{2}-\frac{3}{4}x ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{15}{2}x-\frac{3}{4}x^{2}
x^{2} hosil qilish uchun x va x ni ko'paytirish.
\frac{1\times 3}{2\times 2}\left(10-x\right)x
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{3}{2} ga ko‘paytiring.
\frac{3}{4}\left(10-x\right)x
\frac{1\times 3}{2\times 2} kasridagi ko‘paytirishlarni bajaring.
\left(\frac{3}{4}\times 10+\frac{3}{4}\left(-1\right)x\right)x
\frac{3}{4} ga 10-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\left(\frac{3\times 10}{4}+\frac{3}{4}\left(-1\right)x\right)x
\frac{3}{4}\times 10 ni yagona kasrga aylantiring.
\left(\frac{30}{4}+\frac{3}{4}\left(-1\right)x\right)x
30 hosil qilish uchun 3 va 10 ni ko'paytirish.
\left(\frac{15}{2}+\frac{3}{4}\left(-1\right)x\right)x
\frac{30}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
\left(\frac{15}{2}-\frac{3}{4}x\right)x
-\frac{3}{4} hosil qilish uchun \frac{3}{4} va -1 ni ko'paytirish.
\frac{15}{2}x-\frac{3}{4}xx
\frac{15}{2}-\frac{3}{4}x ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{15}{2}x-\frac{3}{4}x^{2}
x^{2} hosil qilish uchun x va x ni ko'paytirish.
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}