What is factor 3x^2-4y^2+x^2y^2-12 ?

The solution to factor 3x^2-4y^2+x^2y^2-12 is (y^2+3)(x+2)(x-2)

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factor 3x^2-4y^2+x^2y^2-12

factor

3 x^{2} - 4 y^{2} + x^{2} y^{2} - 12

(y^{2} + 3) (x + 2) (x - 2)

Solution steps

3 x^{2} - 4 y^{2} + x^{2} y^{2} - 12

Group by common factors

= x^{2} y^{2} + 3 x^{2} - 4 y^{2} - 12

= (x^{2} y^{2} + 3 x^{2}) + (- 4 y^{2} - 12)

Factor out

x^{2}

from

x^{2} y^{2} + 3 x^{2} : x^{2} (y^{2} + 3)

Factor out

- 4

from

- 4 y^{2} - 12 : - 4 (y^{2} + 3)

= x^{2} (y^{2} + 3) - 4 (y^{2} + 3)

Factor out common term

y^{2} + 3

= (y^{2} + 3) (x^{2} - 4)

Factor

x^{2} - 4 : (x + 2) (x - 2)

= (y^{2} + 3) (x + 2) (x - 2)

81 x^{2} - 64

- 5 < 1 - 2 x \leq - 2

x^{2} = 7

(3125 x^{2})^{\frac{3}{5}}

\frac{7}{x - 5} = 11

What is factor 3x^2-4y^2+x^2y^2-12 ?
The solution to factor 3x^2-4y^2+x^2y^2-12 is (y^2+3)(x+2)(x-2)