Factor
\frac{\left(2a^{2}+1\right)^{2}}{4}
Evaluate
\frac{\left(2a^{2}+1\right)^{2}}{4}
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\frac{1+4a^{2}+4a^{4}}{4}
Factor out \frac{1}{4}.
\left(2a^{2}+1\right)^{2}
Consider 1+4a^{2}+4a^{4}. Use the perfect square formula, p^{2}+2pq+q^{2}=\left(p+q\right)^{2}, where p=2a^{2} and q=1.
\frac{\left(2a^{2}+1\right)^{2}}{4}
Rewrite the complete factored expression. Polynomial 2a^{2}+1 is not factored since it does not have any rational roots.
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