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3\left(ax^{2}-ay^{4}\right)
Factor out 3.
a\left(x^{2}-y^{4}\right)
Consider ax^{2}-ay^{4}. Factor out a.
\left(x-y^{2}\right)\left(x+y^{2}\right)
Consider x^{2}-y^{4}. Rewrite x^{2}-y^{4} as x^{2}-\left(y^{2}\right)^{2}. The difference of squares can be factored using the rule: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).
3a\left(x-y^{2}\right)\left(x+y^{2}\right)
Rewrite the complete factored expression.