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\frac{3\times 5\left(x^{2}-\left(-\frac{1}{5}\sqrt{31}-\frac{1}{5}\right)\right)\left(x^{2}-\left(\frac{1}{5}\sqrt{31}-\frac{1}{5}\right)\right)x^{3}}{3x^{3}}
Factor the expressions that are not already factored.
5\left(x^{2}-\left(-\frac{1}{5}\sqrt{31}-\frac{1}{5}\right)\right)\left(x^{2}-\left(\frac{1}{5}\sqrt{31}-\frac{1}{5}\right)\right)
Cancel out 3x^{3} in both numerator and denominator.
5x^{4}+2x^{2}-6
Expand the expression.
\frac{3\times 5\left(x^{2}-\left(-\frac{1}{5}\sqrt{31}-\frac{1}{5}\right)\right)\left(x^{2}-\left(\frac{1}{5}\sqrt{31}-\frac{1}{5}\right)\right)x^{3}}{3x^{3}}
Factor the expressions that are not already factored.
5\left(x^{2}-\left(-\frac{1}{5}\sqrt{31}-\frac{1}{5}\right)\right)\left(x^{2}-\left(\frac{1}{5}\sqrt{31}-\frac{1}{5}\right)\right)
Cancel out 3x^{3} in both numerator and denominator.
5x^{4}+2x^{2}-6
Expand the expression.