Factor
-2\left(x^{2}-6\right)^{2}
Evaluate
-2\left(x^{2}-6\right)^{2}
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2\left(-x^{4}+12x^{2}-36\right)
Factor out 2.
\left(x^{2}-6\right)\left(-x^{2}+6\right)
Consider -x^{4}+12x^{2}-36. Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power -x^{4} and n divides the constant factor -36. One such factor is x^{2}-6. Factor the polynomial by dividing it by this factor.
2\left(x^{2}-6\right)\left(-x^{2}+6\right)
Rewrite the complete factored expression. The following polynomials are not factored since they do not have any rational roots: x^{2}-6,-x^{2}+6.
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