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\frac{25x^{6}-20x^{3}+4}{25}
Factor out \frac{1}{25}.
\left(5x^{3}-2\right)^{2}
Consider 25x^{6}-20x^{3}+4. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=5x^{3} and b=2.
\frac{\left(5x^{3}-2\right)^{2}}{25}
Rewrite the complete factored expression. Polynomial 5x^{3}-2 is not factored since it does not have any rational roots.