Baholash
-28x^{2}+142x-\frac{391}{4}
Kengaytirish
-28x^{2}+142x-\frac{391}{4}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\left(6x-\frac{3}{2}\right)^{2}-\left(8\left(x-\frac{5}{4}\right)\right)^{2}
6 ga x-\frac{1}{4} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
36x^{2}-18x+\frac{9}{4}-\left(8\left(x-\frac{5}{4}\right)\right)^{2}
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(6x-\frac{3}{2}\right)^{2} kengaytirilishi uchun ishlating.
36x^{2}-18x+\frac{9}{4}-\left(8x-10\right)^{2}
8 ga x-\frac{5}{4} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
36x^{2}-18x+\frac{9}{4}-\left(64x^{2}-160x+100\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(8x-10\right)^{2} kengaytirilishi uchun ishlating.
36x^{2}-18x+\frac{9}{4}-64x^{2}+160x-100
64x^{2}-160x+100 teskarisini topish uchun har birining teskarisini toping.
-28x^{2}-18x+\frac{9}{4}+160x-100
-28x^{2} ni olish uchun 36x^{2} va -64x^{2} ni birlashtirish.
-28x^{2}+142x+\frac{9}{4}-100
142x ni olish uchun -18x va 160x ni birlashtirish.
-28x^{2}+142x-\frac{391}{4}
-\frac{391}{4} olish uchun \frac{9}{4} dan 100 ni ayirish.
\left(6x-\frac{3}{2}\right)^{2}-\left(8\left(x-\frac{5}{4}\right)\right)^{2}
6 ga x-\frac{1}{4} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
36x^{2}-18x+\frac{9}{4}-\left(8\left(x-\frac{5}{4}\right)\right)^{2}
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(6x-\frac{3}{2}\right)^{2} kengaytirilishi uchun ishlating.
36x^{2}-18x+\frac{9}{4}-\left(8x-10\right)^{2}
8 ga x-\frac{5}{4} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
36x^{2}-18x+\frac{9}{4}-\left(64x^{2}-160x+100\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(8x-10\right)^{2} kengaytirilishi uchun ishlating.
36x^{2}-18x+\frac{9}{4}-64x^{2}+160x-100
64x^{2}-160x+100 teskarisini topish uchun har birining teskarisini toping.
-28x^{2}-18x+\frac{9}{4}+160x-100
-28x^{2} ni olish uchun 36x^{2} va -64x^{2} ni birlashtirish.
-28x^{2}+142x+\frac{9}{4}-100
142x ni olish uchun -18x va 160x ni birlashtirish.
-28x^{2}+142x-\frac{391}{4}
-\frac{391}{4} olish uchun \frac{9}{4} dan 100 ni ayirish.
Misollar
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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}