Baholash
\left(a-4b\right)\left(3a-4b\right)
Kengaytirish
3a^{2}-16ab+16b^{2}
Baham ko'rish
Klipbordga nusxa olish
9a^{2}-24ab+16b^{2}+2a\left(4b-3a\right)
\left(p-q\right)^{2}=p^{2}-2pq+q^{2} binom teoremasini \left(3a-4b\right)^{2} kengaytirilishi uchun ishlating.
9a^{2}-24ab+16b^{2}+8ab-6a^{2}
2a ga 4b-3a ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
9a^{2}-16ab+16b^{2}-6a^{2}
-16ab ni olish uchun -24ab va 8ab ni birlashtirish.
3a^{2}-16ab+16b^{2}
3a^{2} ni olish uchun 9a^{2} va -6a^{2} ni birlashtirish.
9a^{2}-24ab+16b^{2}+2a\left(4b-3a\right)
\left(p-q\right)^{2}=p^{2}-2pq+q^{2} binom teoremasini \left(3a-4b\right)^{2} kengaytirilishi uchun ishlating.
9a^{2}-24ab+16b^{2}+8ab-6a^{2}
2a ga 4b-3a ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
9a^{2}-16ab+16b^{2}-6a^{2}
-16ab ni olish uchun -24ab va 8ab ni birlashtirish.
3a^{2}-16ab+16b^{2}
3a^{2} ni olish uchun 9a^{2} va -6a^{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}