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

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

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

factor

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

(y + 1) (y - 1) (x + 1) (x - 1)

Solution steps

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

Group by common factors

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

= (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)

Factor out

- 1

from

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

Factor

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

= (y + 1) (y - 1) (x + 1) (x - 1)

\frac{\frac{x ^{3}}{y ^{2}}}{\frac{x ^{6}}{y ^{5}}}

cos (18 0^{\circ}) - x

x^{4} + 4 x^{3} + 4 x^{2} - y^{2}

\frac{( - 13 x + 15 x ^{2} - 20 )}{( 3 x - 5 )}

(4 i^{w} \cdot k^{- 3 - n}) (- j \cdot k^{n + 3})

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