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