Question

braonlist question
x^2-y^2+1-x^2y^2
factorise this pls:

Answer 1

x²-y²+1-x²y²,

then we can write it as
x²+1-y²-x²y²,

1(x²+1)-y²(1+x²),

then

(x²+1)(1-y²)

(x²+1) (1+y) (1-y)

Answer 2

Given Equation is x^2 - y^2 + 1 - x^2y^2

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

= > -x^2(y^2 - 1) - (y^2 - 1)

= > (y^2 - 1)(-x^2 - 1)

We know that a^2 - b^2 = (a + b)(a - b)

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

= > -(y - 1)(y + 1)(x^2 + 1).

Hope it helps!