Baholash
\frac{5\left(x^{2}-y^{2}\right)}{3\left(xy\right)^{3}}
Kengaytirish
-\frac{5\left(y^{2}-x^{2}\right)}{3\left(xy\right)^{3}}
Viktorina
Algebra
5xshash muammolar:
\frac { x - y } { x ^ { 2 } y } \frac { x + y } { 3 x y ^ { 2 } } 5 =
Baham ko'rish
Klipbordga nusxa olish
\frac{\left(x-y\right)\left(x+y\right)}{x^{2}y\times 3xy^{2}}\times 5
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{x-y}{x^{2}y} ni \frac{x+y}{3xy^{2}} ga ko‘paytiring.
\frac{\left(x-y\right)\left(x+y\right)\times 5}{x^{2}y\times 3xy^{2}}
\frac{\left(x-y\right)\left(x+y\right)}{x^{2}y\times 3xy^{2}}\times 5 ni yagona kasrga aylantiring.
\frac{\left(x-y\right)\left(x+y\right)\times 5}{x^{3}y\times 3y^{2}}
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.
\frac{\left(x-y\right)\left(x+y\right)\times 5}{x^{3}y^{3}\times 3}
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 2 ni qo‘shib, 3 ni oling.
\frac{\left(x^{2}-y^{2}\right)\times 5}{x^{3}y^{3}\times 3}
x-y ga x+y ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
\frac{5x^{2}-5y^{2}}{x^{3}y^{3}\times 3}
x^{2}-y^{2} ga 5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{\left(x-y\right)\left(x+y\right)}{x^{2}y\times 3xy^{2}}\times 5
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{x-y}{x^{2}y} ni \frac{x+y}{3xy^{2}} ga ko‘paytiring.
\frac{\left(x-y\right)\left(x+y\right)\times 5}{x^{2}y\times 3xy^{2}}
\frac{\left(x-y\right)\left(x+y\right)}{x^{2}y\times 3xy^{2}}\times 5 ni yagona kasrga aylantiring.
\frac{\left(x-y\right)\left(x+y\right)\times 5}{x^{3}y\times 3y^{2}}
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.
\frac{\left(x-y\right)\left(x+y\right)\times 5}{x^{3}y^{3}\times 3}
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 2 ni qo‘shib, 3 ni oling.
\frac{\left(x^{2}-y^{2}\right)\times 5}{x^{3}y^{3}\times 3}
x-y ga x+y ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
\frac{5x^{2}-5y^{2}}{x^{3}y^{3}\times 3}
x^{2}-y^{2} ga 5 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}