Baholash
12\left(x^{2}+1\right)
Kengaytirish
12x^{2}+12
Grafik
Baham ko'rish
Klipbordga nusxa olish
\left(x^{2}\right)^{2}+8x^{2}+16-\left(x^{2}-2\right)^{2}
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x^{2}+4\right)^{2} kengaytirilishi uchun ishlating.
x^{4}+8x^{2}+16-\left(x^{2}-2\right)^{2}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.
x^{4}+8x^{2}+16-\left(\left(x^{2}\right)^{2}-4x^{2}+4\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x^{2}-2\right)^{2} kengaytirilishi uchun ishlating.
x^{4}+8x^{2}+16-\left(x^{4}-4x^{2}+4\right)
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.
x^{4}+8x^{2}+16-x^{4}+4x^{2}-4
x^{4}-4x^{2}+4 teskarisini topish uchun har birining teskarisini toping.
8x^{2}+16+4x^{2}-4
0 ni olish uchun x^{4} va -x^{4} ni birlashtirish.
12x^{2}+16-4
12x^{2} ni olish uchun 8x^{2} va 4x^{2} ni birlashtirish.
12x^{2}+12
12 olish uchun 16 dan 4 ni ayirish.
\left(x^{2}\right)^{2}+8x^{2}+16-\left(x^{2}-2\right)^{2}
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x^{2}+4\right)^{2} kengaytirilishi uchun ishlating.
x^{4}+8x^{2}+16-\left(x^{2}-2\right)^{2}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.
x^{4}+8x^{2}+16-\left(\left(x^{2}\right)^{2}-4x^{2}+4\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x^{2}-2\right)^{2} kengaytirilishi uchun ishlating.
x^{4}+8x^{2}+16-\left(x^{4}-4x^{2}+4\right)
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.
x^{4}+8x^{2}+16-x^{4}+4x^{2}-4
x^{4}-4x^{2}+4 teskarisini topish uchun har birining teskarisini toping.
8x^{2}+16+4x^{2}-4
0 ni olish uchun x^{4} va -x^{4} ni birlashtirish.
12x^{2}+16-4
12x^{2} ni olish uchun 8x^{2} va 4x^{2} ni birlashtirish.
12x^{2}+12
12 olish uchun 16 dan 4 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}