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x^{2}y^{2}+2xy+1-\left(xy-1\right)^{2}
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(xy+1\right)^{2} kengaytirilishi uchun ishlating.
x^{2}y^{2}+2xy+1-\left(x^{2}y^{2}-2xy+1\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(xy-1\right)^{2} kengaytirilishi uchun ishlating.
x^{2}y^{2}+2xy+1-x^{2}y^{2}+2xy-1
x^{2}y^{2}-2xy+1 teskarisini topish uchun har birining teskarisini toping.
2xy+1+2xy-1
0 ni olish uchun x^{2}y^{2} va -x^{2}y^{2} ni birlashtirish.
4xy+1-1
4xy ni olish uchun 2xy va 2xy ni birlashtirish.
4xy
0 olish uchun 1 dan 1 ni ayirish.
x^{2}y^{2}+2xy+1-\left(xy-1\right)^{2}
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(xy+1\right)^{2} kengaytirilishi uchun ishlating.
x^{2}y^{2}+2xy+1-\left(x^{2}y^{2}-2xy+1\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(xy-1\right)^{2} kengaytirilishi uchun ishlating.
x^{2}y^{2}+2xy+1-x^{2}y^{2}+2xy-1
x^{2}y^{2}-2xy+1 teskarisini topish uchun har birining teskarisini toping.
2xy+1+2xy-1
0 ni olish uchun x^{2}y^{2} va -x^{2}y^{2} ni birlashtirish.
4xy+1-1
4xy ni olish uchun 2xy va 2xy ni birlashtirish.
4xy
0 olish uchun 1 dan 1 ni ayirish.