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8\left(9ax^{2}-ay^{4}\right)
Factor out 8.
a\left(9x^{2}-y^{4}\right)
Consider 9ax^{2}-ay^{4}. Factor out a.
\left(3x-y^{2}\right)\left(3x+y^{2}\right)
Consider 9x^{2}-y^{4}. Rewrite 9x^{2}-y^{4} as \left(3x\right)^{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).
8a\left(3x-y^{2}\right)\left(3x+y^{2}\right)
Rewrite the complete factored expression.