Baholash
x^{2}+6x-3
Kengaytirish
x^{2}+6x-3
Grafik
Baham ko'rish
Klipbordga nusxa olish
x^{2}+2x+1+\left(2x+2\right)\left(2x-2\right)-4x\left(x-1\right)
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+1\right)^{2} kengaytirilishi uchun ishlating.
x^{2}+2x+1+\left(2x\right)^{2}-4-4x\left(x-1\right)
Hisoblang: \left(2x+2\right)\left(2x-2\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 2 kvadratini chiqarish.
x^{2}+2x+1+2^{2}x^{2}-4-4x\left(x-1\right)
\left(2x\right)^{2} ni kengaytirish.
x^{2}+2x+1+4x^{2}-4-4x\left(x-1\right)
2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.
5x^{2}+2x+1-4-4x\left(x-1\right)
5x^{2} ni olish uchun x^{2} va 4x^{2} ni birlashtirish.
5x^{2}+2x-3-4x\left(x-1\right)
-3 olish uchun 1 dan 4 ni ayirish.
5x^{2}+2x-3-4x^{2}+4x
-4x ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}+2x-3+4x
x^{2} ni olish uchun 5x^{2} va -4x^{2} ni birlashtirish.
x^{2}+6x-3
6x ni olish uchun 2x va 4x ni birlashtirish.
x^{2}+2x+1+\left(2x+2\right)\left(2x-2\right)-4x\left(x-1\right)
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+1\right)^{2} kengaytirilishi uchun ishlating.
x^{2}+2x+1+\left(2x\right)^{2}-4-4x\left(x-1\right)
Hisoblang: \left(2x+2\right)\left(2x-2\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 2 kvadratini chiqarish.
x^{2}+2x+1+2^{2}x^{2}-4-4x\left(x-1\right)
\left(2x\right)^{2} ni kengaytirish.
x^{2}+2x+1+4x^{2}-4-4x\left(x-1\right)
2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.
5x^{2}+2x+1-4-4x\left(x-1\right)
5x^{2} ni olish uchun x^{2} va 4x^{2} ni birlashtirish.
5x^{2}+2x-3-4x\left(x-1\right)
-3 olish uchun 1 dan 4 ni ayirish.
5x^{2}+2x-3-4x^{2}+4x
-4x ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}+2x-3+4x
x^{2} ni olish uchun 5x^{2} va -4x^{2} ni birlashtirish.
x^{2}+6x-3
6x ni olish uchun 2x va 4x 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}