Baholash
x\left(3x+4y\right)
Kengaytirish
3x^{2}+4xy
Viktorina
Algebra
5xshash muammolar:
( 2 x + y ) ( 2 x - y ) + ( x + y ) ^ { 2 } - 2 ( x ^ { 2 } - x y )
Baham ko'rish
Klipbordga nusxa olish
\left(2x\right)^{2}-y^{2}+\left(x+y\right)^{2}-2\left(x^{2}-xy\right)
Hisoblang: \left(2x+y\right)\left(2x-y\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
2^{2}x^{2}-y^{2}+\left(x+y\right)^{2}-2\left(x^{2}-xy\right)
\left(2x\right)^{2} ni kengaytirish.
4x^{2}-y^{2}+\left(x+y\right)^{2}-2\left(x^{2}-xy\right)
2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.
4x^{2}-y^{2}+x^{2}+2xy+y^{2}-2\left(x^{2}-xy\right)
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+y\right)^{2} kengaytirilishi uchun ishlating.
5x^{2}-y^{2}+2xy+y^{2}-2\left(x^{2}-xy\right)
5x^{2} ni olish uchun 4x^{2} va x^{2} ni birlashtirish.
5x^{2}+2xy-2\left(x^{2}-xy\right)
0 ni olish uchun -y^{2} va y^{2} ni birlashtirish.
5x^{2}+2xy-2x^{2}+2xy
-2 ga x^{2}-xy ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3x^{2}+2xy+2xy
3x^{2} ni olish uchun 5x^{2} va -2x^{2} ni birlashtirish.
3x^{2}+4xy
4xy ni olish uchun 2xy va 2xy ni birlashtirish.
\left(2x\right)^{2}-y^{2}+\left(x+y\right)^{2}-2\left(x^{2}-xy\right)
Hisoblang: \left(2x+y\right)\left(2x-y\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
2^{2}x^{2}-y^{2}+\left(x+y\right)^{2}-2\left(x^{2}-xy\right)
\left(2x\right)^{2} ni kengaytirish.
4x^{2}-y^{2}+\left(x+y\right)^{2}-2\left(x^{2}-xy\right)
2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.
4x^{2}-y^{2}+x^{2}+2xy+y^{2}-2\left(x^{2}-xy\right)
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+y\right)^{2} kengaytirilishi uchun ishlating.
5x^{2}-y^{2}+2xy+y^{2}-2\left(x^{2}-xy\right)
5x^{2} ni olish uchun 4x^{2} va x^{2} ni birlashtirish.
5x^{2}+2xy-2\left(x^{2}-xy\right)
0 ni olish uchun -y^{2} va y^{2} ni birlashtirish.
5x^{2}+2xy-2x^{2}+2xy
-2 ga x^{2}-xy ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3x^{2}+2xy+2xy
3x^{2} ni olish uchun 5x^{2} va -2x^{2} ni birlashtirish.
3x^{2}+4xy
4xy ni olish uchun 2xy va 2xy 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}