Baholash
\left(x+y+4\right)^{2}
Kengaytirish
x^{2}+2xy+8x+y^{2}+8y+16
Baham ko'rish
Klipbordga nusxa olish
x^{2}+10x+25+2\left(x+5\right)\left(y-1\right)+\left(y-1\right)^{2}
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+5\right)^{2} kengaytirilishi uchun ishlating.
x^{2}+10x+25+\left(2x+10\right)\left(y-1\right)+\left(y-1\right)^{2}
2 ga x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}+10x+25+2xy-2x+10y-10+\left(y-1\right)^{2}
2x+10 ga y-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}+8x+25+2xy+10y-10+\left(y-1\right)^{2}
8x ni olish uchun 10x va -2x ni birlashtirish.
x^{2}+8x+15+2xy+10y+\left(y-1\right)^{2}
15 olish uchun 25 dan 10 ni ayirish.
x^{2}+8x+15+2xy+10y+y^{2}-2y+1
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(y-1\right)^{2} kengaytirilishi uchun ishlating.
x^{2}+8x+15+2xy+8y+y^{2}+1
8y ni olish uchun 10y va -2y ni birlashtirish.
x^{2}+8x+16+2xy+8y+y^{2}
16 olish uchun 15 va 1'ni qo'shing.
x^{2}+10x+25+2\left(x+5\right)\left(y-1\right)+\left(y-1\right)^{2}
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+5\right)^{2} kengaytirilishi uchun ishlating.
x^{2}+10x+25+\left(2x+10\right)\left(y-1\right)+\left(y-1\right)^{2}
2 ga x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}+10x+25+2xy-2x+10y-10+\left(y-1\right)^{2}
2x+10 ga y-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}+8x+25+2xy+10y-10+\left(y-1\right)^{2}
8x ni olish uchun 10x va -2x ni birlashtirish.
x^{2}+8x+15+2xy+10y+\left(y-1\right)^{2}
15 olish uchun 25 dan 10 ni ayirish.
x^{2}+8x+15+2xy+10y+y^{2}-2y+1
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(y-1\right)^{2} kengaytirilishi uchun ishlating.
x^{2}+8x+15+2xy+8y+y^{2}+1
8y ni olish uchun 10y va -2y ni birlashtirish.
x^{2}+8x+16+2xy+8y+y^{2}
16 olish uchun 15 va 1'ni qo'shing.
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}