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x\left(x^{2}y^{2}-4\right)
Factor out x.
\left(xy-2\right)\left(xy+2\right)
Consider x^{2}y^{2}-4. Rewrite x^{2}y^{2}-4 as \left(xy\right)^{2}-2^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
x\left(xy-2\right)\left(xy+2\right)
Rewrite the complete factored expression.