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2\left(4a^{4}-4a^{3}+a^{2}\right)
Factor out 2.
a^{2}\left(4a^{2}-4a+1\right)
Consider 4a^{4}-4a^{3}+a^{2}. Factor out a^{2}.
\left(2a-1\right)^{2}
Consider 4a^{2}-4a+1. Use the perfect square formula, p^{2}-2pq+q^{2}=\left(p-q\right)^{2}, where p=2a and q=1.
2a^{2}\left(2a-1\right)^{2}
Rewrite the complete factored expression.