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3\left(25c^{2}-49\right)
Factor out 3.
\left(5c-7\right)\left(5c+7\right)
Consider 25c^{2}-49. Rewrite 25c^{2}-49 as \left(5c\right)^{2}-7^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
3\left(5c-7\right)\left(5c+7\right)
Rewrite the complete factored expression.