Baholash
\left(x-9\right)\left(x-1\right)
Kengaytirish
x^{2}-10x+9
Grafik
Baham ko'rish
Klipbordga nusxa olish
5x^{2}-10x-\left(2x+3\right)\left(2x-3\right)
5x ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
5x^{2}-10x-\left(\left(2x\right)^{2}-3^{2}\right)
Hisoblang: \left(2x+3\right)\left(2x-3\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
5x^{2}-10x-\left(2^{2}x^{2}-3^{2}\right)
\left(2x\right)^{2} ni kengaytirish.
5x^{2}-10x-\left(4x^{2}-3^{2}\right)
2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.
5x^{2}-10x-\left(4x^{2}-9\right)
2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.
5x^{2}-10x-4x^{2}-\left(-9\right)
4x^{2}-9 teskarisini topish uchun har birining teskarisini toping.
5x^{2}-10x-4x^{2}+9
-9 ning teskarisi 9 ga teng.
x^{2}-10x+9
x^{2} ni olish uchun 5x^{2} va -4x^{2} ni birlashtirish.
5x^{2}-10x-\left(2x+3\right)\left(2x-3\right)
5x ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
5x^{2}-10x-\left(\left(2x\right)^{2}-3^{2}\right)
Hisoblang: \left(2x+3\right)\left(2x-3\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
5x^{2}-10x-\left(2^{2}x^{2}-3^{2}\right)
\left(2x\right)^{2} ni kengaytirish.
5x^{2}-10x-\left(4x^{2}-3^{2}\right)
2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.
5x^{2}-10x-\left(4x^{2}-9\right)
2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.
5x^{2}-10x-4x^{2}-\left(-9\right)
4x^{2}-9 teskarisini topish uchun har birining teskarisini toping.
5x^{2}-10x-4x^{2}+9
-9 ning teskarisi 9 ga teng.
x^{2}-10x+9
x^{2} ni olish uchun 5x^{2} va -4x^{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}