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4\left(c^{2}-16d^{4}\right)
Factor out 4.
\left(c-4d^{2}\right)\left(c+4d^{2}\right)
Consider c^{2}-16d^{4}. Rewrite c^{2}-16d^{4} as c^{2}-\left(4d^{2}\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
4\left(c-4d^{2}\right)\left(c+4d^{2}\right)
Rewrite the complete factored expression.