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x^{2}\left(4x^{2}+4x+1\right)
Factor out x^{2}.
\left(2x+1\right)^{2}
Consider 4x^{2}+4x+1. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=2x and b=1.
x^{2}\left(2x+1\right)^{2}
Rewrite the complete factored expression.