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\frac{64a^{2}b^{2}-c^{4}}{64}
Factor out \frac{1}{64}.
\left(8ab-c^{2}\right)\left(8ab+c^{2}\right)
Consider 64a^{2}b^{2}-c^{4}. Rewrite 64a^{2}b^{2}-c^{4} as \left(8ab\right)^{2}-\left(c^{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).
\frac{\left(8ab-c^{2}\right)\left(8ab+c^{2}\right)}{64}
Rewrite the complete factored expression.