Baholash
2\left(x-5\right)\left(x-2\right)
Kengaytirish
2x^{2}-14x+20
Grafik
Baham ko'rish
Klipbordga nusxa olish
25-x^{2}+\left(x-5\right)^{2}+\left(2x-10\right)\left(x+3\right)
Hisoblang: \left(5-x\right)\left(5+x\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 5 kvadratini chiqarish.
25-x^{2}+x^{2}-10x+25+\left(2x-10\right)\left(x+3\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-5\right)^{2} kengaytirilishi uchun ishlating.
25-10x+25+\left(2x-10\right)\left(x+3\right)
0 ni olish uchun -x^{2} va x^{2} ni birlashtirish.
50-10x+\left(2x-10\right)\left(x+3\right)
50 olish uchun 25 va 25'ni qo'shing.
50-10x+2x^{2}-4x-30
2x-10 ga x+3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
50-14x+2x^{2}-30
-14x ni olish uchun -10x va -4x ni birlashtirish.
20-14x+2x^{2}
20 olish uchun 50 dan 30 ni ayirish.
25-x^{2}+\left(x-5\right)^{2}+\left(2x-10\right)\left(x+3\right)
Hisoblang: \left(5-x\right)\left(5+x\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 5 kvadratini chiqarish.
25-x^{2}+x^{2}-10x+25+\left(2x-10\right)\left(x+3\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-5\right)^{2} kengaytirilishi uchun ishlating.
25-10x+25+\left(2x-10\right)\left(x+3\right)
0 ni olish uchun -x^{2} va x^{2} ni birlashtirish.
50-10x+\left(2x-10\right)\left(x+3\right)
50 olish uchun 25 va 25'ni qo'shing.
50-10x+2x^{2}-4x-30
2x-10 ga x+3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
50-14x+2x^{2}-30
-14x ni olish uchun -10x va -4x ni birlashtirish.
20-14x+2x^{2}
20 olish uchun 50 dan 30 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}