Factor
4\left(3b^{6}-5c\right)\left(3b^{6}+5c\right)
Evaluate
36b^{12}-100c^{2}
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4\left(9b^{12}-25c^{2}\right)
Factor out 4.
\left(3b^{6}-5c\right)\left(3b^{6}+5c\right)
Consider 9b^{12}-25c^{2}. Rewrite 9b^{12}-25c^{2} as \left(3b^{6}\right)^{2}-\left(5c\right)^{2}. The difference of squares can be factored using the rule: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).
4\left(3b^{6}-5c\right)\left(3b^{6}+5c\right)
Rewrite the complete factored expression.
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