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2\left(49a^{4}-112a^{2}+64\right)
Factor out 2.
\left(7a^{2}-8\right)^{2}
Consider 49a^{4}-112a^{2}+64. Use the perfect square formula, p^{2}-2pq+q^{2}=\left(p-q\right)^{2}, where p=7a^{2} and q=8.
2\left(7a^{2}-8\right)^{2}
Rewrite the complete factored expression. Polynomial 7a^{2}-8 is not factored since it does not have any rational roots.