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