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4\left(x^{2}-16y^{4}\right)
Factor out 4.
\left(x-4y^{2}\right)\left(x+4y^{2}\right)
Consider x^{2}-16y^{4}. Rewrite x^{2}-16y^{4} as x^{2}-\left(4y^{2}\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
4\left(x-4y^{2}\right)\left(x+4y^{2}\right)
Rewrite the complete factored expression.