What is factor x^2y^2-x^2-1+y^2 ?

The solution to factor x^2y^2-x^2-1+y^2 is (y+1)(y-1)(x^2+1)

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factor x^2y^2-x^2-1+y^2

factor

x^{2} y^{2} - x^{2} - 1 + y^{2}

(y + 1) (y - 1) (x^{2} + 1)

Solution steps

x^{2} y^{2} - x^{2} - 1 + y^{2}

= (x^{2} y^{2} - x^{2}) + (y^{2} - 1)

Factor out

x^{2}

from

x^{2} y^{2} - x^{2} : x^{2} (y^{2} - 1)

= x^{2} (y^{2} - 1) + (y^{2} - 1)

Factor out common term

(y^{2} - 1) : (y^{2} - 1) (x^{2} + 1)

= (y^{2} - 1) (x^{2} + 1)

Factor

y^{2} - 1 : (y + 1) (y - 1)

= (y + 1) (y - 1) (x^{2} + 1)

x^{2} y^{2} + x^{2} - y^{2} - 1

(2 x - 8)^{3}

\frac{( \frac{2}{x} + \frac{4}{y} )}{( 2 x + y )}

\frac{( x + 1 + 1 - x )}{x}

a^{2} - x^{2} + 2 x - 1

What is factor x^2y^2-x^2-1+y^2 ?
The solution to factor x^2y^2-x^2-1+y^2 is (y+1)(y-1)(x^2+1)