因式分解x^2y^2+y^2-x^2-1

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因式分解x^2y^2+y^2-x^2-1因式分解x^2y^2+y^2-x^2-1因式分解x^2y^2+y^2-x^2-1x^2y^2+y^2-x^2-1=x^2(y^2-1)+(y^2-1)=(x^2

因式分解x^2y^2+y^2-x^2-1
因式分解x^2y^2+y^2-x^2-1

因式分解x^2y^2+y^2-x^2-1
x^2y^2+y^2-x^2-1
=x^2(y^2-1)+(y^2-1)
=(x^2+1)(y^2-1)
=(x^2+1)(y-1)(y+1)

原式=y^2(x^2+1)-(x^2+1)=(x^2+1)(y^2+1)=(x^2+1)(y+1)(y-1)

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