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

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

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

factor

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

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

Solution steps

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

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

Factor out

- 1

from

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

Factor out

y^{2}

from

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

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

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

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

Factor out common term

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

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

Factor

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

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

Factor

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

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

Apply rule:

a (- b) = - ab

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

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

11 + (- 1)

2 p^{2} - 9 p + 10

- 2 - (4)

10 x + x + 8 x

3 x \cdot 4 y

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