Baholash
y\left(15-4y-3x\right)
Kengaytirish
15y-4y^{2}-3xy
Baham ko'rish
Klipbordga nusxa olish
\left(x+y\right)^{2}-5y\left(y+x-3\right)-x^{2}
\left(x+y\right)^{2} hosil qilish uchun x+y va x+y ni ko'paytirish.
x^{2}+2xy+y^{2}-5y\left(y+x-3\right)-x^{2}
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+y\right)^{2} kengaytirilishi uchun ishlating.
x^{2}+2xy+y^{2}-5y^{2}-5yx+15y-x^{2}
-5y ga y+x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}+2xy-4y^{2}-5yx+15y-x^{2}
-4y^{2} ni olish uchun y^{2} va -5y^{2} ni birlashtirish.
x^{2}-3xy-4y^{2}+15y-x^{2}
-3xy ni olish uchun 2xy va -5yx ni birlashtirish.
-3xy-4y^{2}+15y
0 ni olish uchun x^{2} va -x^{2} ni birlashtirish.
\left(x+y\right)^{2}-5y\left(y+x-3\right)-x^{2}
\left(x+y\right)^{2} hosil qilish uchun x+y va x+y ni ko'paytirish.
x^{2}+2xy+y^{2}-5y\left(y+x-3\right)-x^{2}
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+y\right)^{2} kengaytirilishi uchun ishlating.
x^{2}+2xy+y^{2}-5y^{2}-5yx+15y-x^{2}
-5y ga y+x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}+2xy-4y^{2}-5yx+15y-x^{2}
-4y^{2} ni olish uchun y^{2} va -5y^{2} ni birlashtirish.
x^{2}-3xy-4y^{2}+15y-x^{2}
-3xy ni olish uchun 2xy va -5yx ni birlashtirish.
-3xy-4y^{2}+15y
0 ni olish uchun x^{2} va -x^{2} 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}