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

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

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

factor

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

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

Solution steps

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

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

Factor out

y^{3}

from

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

Factor out

- 2

from

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

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

Factor out common term

x^{2} - 2

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

\frac{- 24}{- 3}

9 x^{3} - 6 x^{4} + 12 x^{2}

a^{2} + 42 a + 432

\frac{- 2 ^{2}}{2}

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