Baholash
c\left(64a+9c\right)
Kengaytirish
64ac+9c^{2}
Baham ko'rish
Klipbordga nusxa olish
16a^{2}+8ac+c^{2}-8\left(2a^{2}-7ac-c^{2}\right)
\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(4a+c\right)^{2} kengaytirilishi uchun ishlating.
16a^{2}+8ac+c^{2}-16a^{2}+56ac+8c^{2}
-8 ga 2a^{2}-7ac-c^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
8ac+c^{2}+56ac+8c^{2}
0 ni olish uchun 16a^{2} va -16a^{2} ni birlashtirish.
64ac+c^{2}+8c^{2}
64ac ni olish uchun 8ac va 56ac ni birlashtirish.
64ac+9c^{2}
9c^{2} ni olish uchun c^{2} va 8c^{2} ni birlashtirish.
16a^{2}+8ac+c^{2}-8\left(2a^{2}-7ac-c^{2}\right)
\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(4a+c\right)^{2} kengaytirilishi uchun ishlating.
16a^{2}+8ac+c^{2}-16a^{2}+56ac+8c^{2}
-8 ga 2a^{2}-7ac-c^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
8ac+c^{2}+56ac+8c^{2}
0 ni olish uchun 16a^{2} va -16a^{2} ni birlashtirish.
64ac+c^{2}+8c^{2}
64ac ni olish uchun 8ac va 56ac ni birlashtirish.
64ac+9c^{2}
9c^{2} ni olish uchun c^{2} va 8c^{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}