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x^{2}-\left(2y\right)^{2}-4\left(y^{2}+1\right)
Hisoblang: \left(x-2y\right)\left(x+2y\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
x^{2}-2^{2}y^{2}-4\left(y^{2}+1\right)
\left(2y\right)^{2} ni kengaytirish.
x^{2}-4y^{2}-4\left(y^{2}+1\right)
2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.
x^{2}-4y^{2}-4y^{2}-4
-4 ga y^{2}+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}-8y^{2}-4
-8y^{2} ni olish uchun -4y^{2} va -4y^{2} ni birlashtirish.
x^{2}-\left(2y\right)^{2}-4\left(y^{2}+1\right)
Hisoblang: \left(x-2y\right)\left(x+2y\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
x^{2}-2^{2}y^{2}-4\left(y^{2}+1\right)
\left(2y\right)^{2} ni kengaytirish.
x^{2}-4y^{2}-4\left(y^{2}+1\right)
2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.
x^{2}-4y^{2}-4y^{2}-4
-4 ga y^{2}+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}-8y^{2}-4
-8y^{2} ni olish uchun -4y^{2} va -4y^{2} ni birlashtirish.