Factor
\left(x^{3}-2\right)\left(5x^{3}+6\right)
Evaluate
\left(x^{3}-2\right)\left(5x^{3}+6\right)
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\left(5x^{3}+6\right)\left(x^{3}-2\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 5x^{6} and n divides the constant factor -12. One such factor is 5x^{3}+6. Factor the polynomial by dividing it by this factor. The following polynomials are not factored since they do not have any rational roots: x^{3}-2,5x^{3}+6.
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