Baholash
\left(2m+n+2\right)^{2}
Kengaytirish
4m^{2}+4mn+8m+n^{2}+4n+4
Baham ko'rish
Klipbordga nusxa olish
4\left(m^{2}+2mn+n^{2}\right)-4\left(m+n\right)\left(n-2\right)+\left(n-2\right)^{2}
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(m+n\right)^{2} kengaytirilishi uchun ishlating.
4m^{2}+8mn+4n^{2}-4\left(m+n\right)\left(n-2\right)+\left(n-2\right)^{2}
4 ga m^{2}+2mn+n^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4m^{2}+8mn+4n^{2}-4\left(m+n\right)\left(n-2\right)+n^{2}-4n+4
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(n-2\right)^{2} kengaytirilishi uchun ishlating.
4m^{2}+8mn+4n^{2}+\left(-4m-4n\right)\left(n-2\right)+n^{2}-4n+4
-4 ga m+n ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4m^{2}+8mn+4n^{2}-4mn+8m-4n^{2}+8n+n^{2}-4n+4
-4m-4n ga n-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4m^{2}+4mn+4n^{2}+8m-4n^{2}+8n+n^{2}-4n+4
4mn ni olish uchun 8mn va -4mn ni birlashtirish.
4m^{2}+4mn+8m+8n+n^{2}-4n+4
0 ni olish uchun 4n^{2} va -4n^{2} ni birlashtirish.
4m^{2}+4mn+8m+4n+n^{2}+4
4n ni olish uchun 8n va -4n ni birlashtirish.
4\left(m^{2}+2mn+n^{2}\right)-4\left(m+n\right)\left(n-2\right)+\left(n-2\right)^{2}
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(m+n\right)^{2} kengaytirilishi uchun ishlating.
4m^{2}+8mn+4n^{2}-4\left(m+n\right)\left(n-2\right)+\left(n-2\right)^{2}
4 ga m^{2}+2mn+n^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4m^{2}+8mn+4n^{2}-4\left(m+n\right)\left(n-2\right)+n^{2}-4n+4
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(n-2\right)^{2} kengaytirilishi uchun ishlating.
4m^{2}+8mn+4n^{2}+\left(-4m-4n\right)\left(n-2\right)+n^{2}-4n+4
-4 ga m+n ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4m^{2}+8mn+4n^{2}-4mn+8m-4n^{2}+8n+n^{2}-4n+4
-4m-4n ga n-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4m^{2}+4mn+4n^{2}+8m-4n^{2}+8n+n^{2}-4n+4
4mn ni olish uchun 8mn va -4mn ni birlashtirish.
4m^{2}+4mn+8m+8n+n^{2}-4n+4
0 ni olish uchun 4n^{2} va -4n^{2} ni birlashtirish.
4m^{2}+4mn+8m+4n+n^{2}+4
4n ni olish uchun 8n va -4n 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}