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