What is factor x^4y^4-2x^2y^2-99 ?

The solution to factor x^4y^4-2x^2y^2-99 is (x^2y^2+9)(x^2y^2-11)

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factor x^4y^4-2x^2y^2-99

factor

x^{4} y^{4} - 2 x^{2} y^{2} - 99

(x^{2} y^{2} + 9) (x^{2} y^{2} - 11)

Solution steps

x^{4} y^{4} - 2 x^{2} y^{2} - 99

Break the expression into groups

= (x^{4} y^{4} + 9 x^{2} y^{2}) + (- 11 x^{2} y^{2} - 99)

Factor out

x^{2} y^{2}

from

x^{4} y^{4} + 9 x^{2} y^{2} : x^{2} y^{2} (x^{2} y^{2} + 9)

Factor out

- 11

from

- 11 x^{2} y^{2} - 99 : - 11 (x^{2} y^{2} + 9)

= x^{2} y^{2} (x^{2} y^{2} + 9) - 11 (x^{2} y^{2} + 9)

Factor out common term

x^{2} y^{2} + 9

= (x^{2} y^{2} + 9) (x^{2} y^{2} - 11)

2 (2 x - 3) > - 8 x + 12

\frac{x - 4}{2} = 5

- 5 \leq x \leq 5

39 k + 62 \geq - 16

x^{2} + 4 x + 3 \geq 0

What is factor x^4y^4-2x^2y^2-99 ?
The solution to factor x^4y^4-2x^2y^2-99 is (x^2y^2+9)(x^2y^2-11)