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x^{2}+2xy+y^{2}+2\left(x+y\right)\left(x-y\right)+\left(x-y\right)^{2}
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+y\right)^{2} kengaytirilishi uchun ishlating.
x^{2}+2xy+y^{2}+\left(2x+2y\right)\left(x-y\right)+\left(x-y\right)^{2}
2 ga x+y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}+2xy+y^{2}+2x^{2}-2y^{2}+\left(x-y\right)^{2}
2x+2y ga x-y ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
3x^{2}+2xy+y^{2}-2y^{2}+\left(x-y\right)^{2}
3x^{2} ni olish uchun x^{2} va 2x^{2} ni birlashtirish.
3x^{2}+2xy-y^{2}+\left(x-y\right)^{2}
-y^{2} ni olish uchun y^{2} va -2y^{2} ni birlashtirish.
3x^{2}+2xy-y^{2}+x^{2}-2xy+y^{2}
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-y\right)^{2} kengaytirilishi uchun ishlating.
4x^{2}+2xy-y^{2}-2xy+y^{2}
4x^{2} ni olish uchun 3x^{2} va x^{2} ni birlashtirish.
4x^{2}-y^{2}+y^{2}
0 ni olish uchun 2xy va -2xy ni birlashtirish.
4x^{2}
0 ni olish uchun -y^{2} va y^{2} ni birlashtirish.
x^{2}+2xy+y^{2}+2\left(x+y\right)\left(x-y\right)+\left(x-y\right)^{2}
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+y\right)^{2} kengaytirilishi uchun ishlating.
x^{2}+2xy+y^{2}+\left(2x+2y\right)\left(x-y\right)+\left(x-y\right)^{2}
2 ga x+y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}+2xy+y^{2}+2x^{2}-2y^{2}+\left(x-y\right)^{2}
2x+2y ga x-y ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
3x^{2}+2xy+y^{2}-2y^{2}+\left(x-y\right)^{2}
3x^{2} ni olish uchun x^{2} va 2x^{2} ni birlashtirish.
3x^{2}+2xy-y^{2}+\left(x-y\right)^{2}
-y^{2} ni olish uchun y^{2} va -2y^{2} ni birlashtirish.
3x^{2}+2xy-y^{2}+x^{2}-2xy+y^{2}
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-y\right)^{2} kengaytirilishi uchun ishlating.
4x^{2}+2xy-y^{2}-2xy+y^{2}
4x^{2} ni olish uchun 3x^{2} va x^{2} ni birlashtirish.
4x^{2}-y^{2}+y^{2}
0 ni olish uchun 2xy va -2xy ni birlashtirish.
4x^{2}
0 ni olish uchun -y^{2} va y^{2} ni birlashtirish.