Answer: [tex](x^2-2)(y^3-2)[/tex].
We will use factor by grouping to factor. That means factor the first two term and last two terms using GCF method. Then factor out the common factor.
[tex]x^2y^3 -2y^3 - 2x^2 +4\\=y^3(x^2-2)-2(x^2-2)\\=(x^2-2)(y^3-2)[/tex]
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