Baholash
3\left(x-5\right)\left(x-2\right)
Kengaytirish
3x^{2}-21x+30
Grafik
Baham ko'rish
Klipbordga nusxa olish
4x^{2}-16x+16-\left(x+7\right)\left(x-2\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(2x-4\right)^{2} kengaytirilishi uchun ishlating.
4x^{2}-16x+16-\left(x^{2}+5x-14\right)
x+7 ga x-2 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
4x^{2}-16x+16-x^{2}-5x+14
x^{2}+5x-14 teskarisini topish uchun har birining teskarisini toping.
3x^{2}-16x+16-5x+14
3x^{2} ni olish uchun 4x^{2} va -x^{2} ni birlashtirish.
3x^{2}-21x+16+14
-21x ni olish uchun -16x va -5x ni birlashtirish.
3x^{2}-21x+30
30 olish uchun 16 va 14'ni qo'shing.
4x^{2}-16x+16-\left(x+7\right)\left(x-2\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(2x-4\right)^{2} kengaytirilishi uchun ishlating.
4x^{2}-16x+16-\left(x^{2}+5x-14\right)
x+7 ga x-2 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
4x^{2}-16x+16-x^{2}-5x+14
x^{2}+5x-14 teskarisini topish uchun har birining teskarisini toping.
3x^{2}-16x+16-5x+14
3x^{2} ni olish uchun 4x^{2} va -x^{2} ni birlashtirish.
3x^{2}-21x+16+14
-21x ni olish uchun -16x va -5x ni birlashtirish.
3x^{2}-21x+30
30 olish uchun 16 va 14'ni qo'shing.
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}