Factor
8\left(-2a^{2}-1\right)\left(2a^{2}-1\right)
Evaluate
8-32a^{4}
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8\left(1-4a^{4}\right)
Factor out 8.
\left(1-2a^{2}\right)\left(1+2a^{2}\right)
Consider 1-4a^{4}. Rewrite 1-4a^{4} as 1^{2}-\left(2a^{2}\right)^{2}. The difference of squares can be factored using the rule: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).
\left(-2a^{2}+1\right)\left(2a^{2}+1\right)
Reorder the terms.
8\left(-2a^{2}+1\right)\left(2a^{2}+1\right)
Rewrite the complete factored expression. The following polynomials are not factored since they do not have any rational roots: -2a^{2}+1,2a^{2}+1.
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