Factor
2\sqrt{5x^{2}+1}\left(3x^{2}+2\right)
Evaluate
2\sqrt{5x^{2}+1}\left(3x^{2}+2\right)
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\left(3x^{2}+2\right)\left(\left(\sqrt{5x^{2}+1}\right)^{1}+\sqrt{5x^{2}+1}\right)
Factor out 3x^{2}+2.
2\sqrt{5x^{2}+1}
Consider \sqrt{5x^{2}+1}+\sqrt{5x^{2}+1}. Factor out \sqrt{5x^{2}+1}.
2\left(3x^{2}+2\right)\sqrt{5x^{2}+1}
Rewrite the complete factored expression. The following polynomials are not factored since they do not have any rational roots: 3x^{2}+2,5x^{2}+1.
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