Baholash
2\left(z-5\right)\left(2z+3\right)
Kengaytirish
4z^{2}-14z-30
Baham ko'rish
Klipbordga nusxa olish
4z^{2}+4z+1-9\left(2z+1\right)-22
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(2z+1\right)^{2} kengaytirilishi uchun ishlating.
4z^{2}+4z+1-18z-9-22
-9 ga 2z+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4z^{2}-14z+1-9-22
-14z ni olish uchun 4z va -18z ni birlashtirish.
4z^{2}-14z-8-22
-8 olish uchun 1 dan 9 ni ayirish.
4z^{2}-14z-30
-30 olish uchun -8 dan 22 ni ayirish.
4z^{2}+4z+1-9\left(2z+1\right)-22
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(2z+1\right)^{2} kengaytirilishi uchun ishlating.
4z^{2}+4z+1-18z-9-22
-9 ga 2z+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4z^{2}-14z+1-9-22
-14z ni olish uchun 4z va -18z ni birlashtirish.
4z^{2}-14z-8-22
-8 olish uchun 1 dan 9 ni ayirish.
4z^{2}-14z-30
-30 olish uchun -8 dan 22 ni ayirish.
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}