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

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

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

factor

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

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

Solution steps

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)

- 20 w - 25 = 4 w^{2}

∣ 9 x - 72 ∣ = 0

\frac{16}{3} - 3

\frac{1}{\frac{8}{17}}

- 2 = \frac{3 x + 7}{4}

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