Baholash
\frac{10\left(x-y\right)}{3y\left(x-1\right)}
Kengaytirish
-\frac{10\left(y-x\right)}{3y\left(x-1\right)}
Baham ko'rish
Klipbordga nusxa olish
\frac{2x\left(5x-5y\right)}{\left(x-1\right)\times 3xy}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2x}{x-1} ni \frac{5x-5y}{3xy} ga ko‘paytiring.
\frac{2\left(5x-5y\right)}{3y\left(x-1\right)}
Surat va maxrajdagi ikkala x ni qisqartiring.
\frac{10x-10y}{3y\left(x-1\right)}
2 ga 5x-5y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{10x-10y}{3yx-3y}
3y ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{2x\left(5x-5y\right)}{\left(x-1\right)\times 3xy}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2x}{x-1} ni \frac{5x-5y}{3xy} ga ko‘paytiring.
\frac{2\left(5x-5y\right)}{3y\left(x-1\right)}
Surat va maxrajdagi ikkala x ni qisqartiring.
\frac{10x-10y}{3y\left(x-1\right)}
2 ga 5x-5y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{10x-10y}{3yx-3y}
3y ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
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}