Baholash
\left(7-x\right)\left(19x+31\right)
Kengaytirish
217+102x-19x^{2}
Grafik
Viktorina
Polynomial
5xshash muammolar:
( 4 x + 15 ) ^ { 2 } - ( 6 x + 1 ) ^ { 2 } + ( x - 7 ) \times ( x + 1 )
Baham ko'rish
Klipbordga nusxa olish
16x^{2}+120x+225-\left(6x+1\right)^{2}+\left(x-7\right)\left(x+1\right)
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(4x+15\right)^{2} kengaytirilishi uchun ishlating.
16x^{2}+120x+225-\left(36x^{2}+12x+1\right)+\left(x-7\right)\left(x+1\right)
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(6x+1\right)^{2} kengaytirilishi uchun ishlating.
16x^{2}+120x+225-36x^{2}-12x-1+\left(x-7\right)\left(x+1\right)
36x^{2}+12x+1 teskarisini topish uchun har birining teskarisini toping.
-20x^{2}+120x+225-12x-1+\left(x-7\right)\left(x+1\right)
-20x^{2} ni olish uchun 16x^{2} va -36x^{2} ni birlashtirish.
-20x^{2}+108x+225-1+\left(x-7\right)\left(x+1\right)
108x ni olish uchun 120x va -12x ni birlashtirish.
-20x^{2}+108x+224+\left(x-7\right)\left(x+1\right)
224 olish uchun 225 dan 1 ni ayirish.
-20x^{2}+108x+224+x^{2}-6x-7
x-7 ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
-19x^{2}+108x+224-6x-7
-19x^{2} ni olish uchun -20x^{2} va x^{2} ni birlashtirish.
-19x^{2}+102x+224-7
102x ni olish uchun 108x va -6x ni birlashtirish.
-19x^{2}+102x+217
217 olish uchun 224 dan 7 ni ayirish.
16x^{2}+120x+225-\left(6x+1\right)^{2}+\left(x-7\right)\left(x+1\right)
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(4x+15\right)^{2} kengaytirilishi uchun ishlating.
16x^{2}+120x+225-\left(36x^{2}+12x+1\right)+\left(x-7\right)\left(x+1\right)
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(6x+1\right)^{2} kengaytirilishi uchun ishlating.
16x^{2}+120x+225-36x^{2}-12x-1+\left(x-7\right)\left(x+1\right)
36x^{2}+12x+1 teskarisini topish uchun har birining teskarisini toping.
-20x^{2}+120x+225-12x-1+\left(x-7\right)\left(x+1\right)
-20x^{2} ni olish uchun 16x^{2} va -36x^{2} ni birlashtirish.
-20x^{2}+108x+225-1+\left(x-7\right)\left(x+1\right)
108x ni olish uchun 120x va -12x ni birlashtirish.
-20x^{2}+108x+224+\left(x-7\right)\left(x+1\right)
224 olish uchun 225 dan 1 ni ayirish.
-20x^{2}+108x+224+x^{2}-6x-7
x-7 ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
-19x^{2}+108x+224-6x-7
-19x^{2} ni olish uchun -20x^{2} va x^{2} ni birlashtirish.
-19x^{2}+102x+224-7
102x ni olish uchun 108x va -6x ni birlashtirish.
-19x^{2}+102x+217
217 olish uchun 224 dan 7 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}