Baholash
13y^{2}-12xy-5x^{2}
Kengaytirish
13y^{2}-12xy-5x^{2}
Baham ko'rish
Klipbordga nusxa olish
4x^{2}-12xy+9y^{2}-\left(2y+3x\right)\left(3x-2y\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(2x-3y\right)^{2} kengaytirilishi uchun ishlating.
4x^{2}-12xy+9y^{2}-\left(\left(3x\right)^{2}-\left(2y\right)^{2}\right)
Hisoblang: \left(2y+3x\right)\left(3x-2y\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
4x^{2}-12xy+9y^{2}-\left(3^{2}x^{2}-\left(2y\right)^{2}\right)
\left(3x\right)^{2} ni kengaytirish.
4x^{2}-12xy+9y^{2}-\left(9x^{2}-\left(2y\right)^{2}\right)
2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.
4x^{2}-12xy+9y^{2}-\left(9x^{2}-2^{2}y^{2}\right)
\left(2y\right)^{2} ni kengaytirish.
4x^{2}-12xy+9y^{2}-\left(9x^{2}-4y^{2}\right)
2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.
4x^{2}-12xy+9y^{2}-9x^{2}+4y^{2}
9x^{2}-4y^{2} teskarisini topish uchun har birining teskarisini toping.
-5x^{2}-12xy+9y^{2}+4y^{2}
-5x^{2} ni olish uchun 4x^{2} va -9x^{2} ni birlashtirish.
-5x^{2}-12xy+13y^{2}
13y^{2} ni olish uchun 9y^{2} va 4y^{2} ni birlashtirish.
4x^{2}-12xy+9y^{2}-\left(2y+3x\right)\left(3x-2y\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(2x-3y\right)^{2} kengaytirilishi uchun ishlating.
4x^{2}-12xy+9y^{2}-\left(\left(3x\right)^{2}-\left(2y\right)^{2}\right)
Hisoblang: \left(2y+3x\right)\left(3x-2y\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
4x^{2}-12xy+9y^{2}-\left(3^{2}x^{2}-\left(2y\right)^{2}\right)
\left(3x\right)^{2} ni kengaytirish.
4x^{2}-12xy+9y^{2}-\left(9x^{2}-\left(2y\right)^{2}\right)
2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.
4x^{2}-12xy+9y^{2}-\left(9x^{2}-2^{2}y^{2}\right)
\left(2y\right)^{2} ni kengaytirish.
4x^{2}-12xy+9y^{2}-\left(9x^{2}-4y^{2}\right)
2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.
4x^{2}-12xy+9y^{2}-9x^{2}+4y^{2}
9x^{2}-4y^{2} teskarisini topish uchun har birining teskarisini toping.
-5x^{2}-12xy+9y^{2}+4y^{2}
-5x^{2} ni olish uchun 4x^{2} va -9x^{2} ni birlashtirish.
-5x^{2}-12xy+13y^{2}
13y^{2} ni olish uchun 9y^{2} va 4y^{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}