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\left(6a^{2}-7t\right)\left(6a^{2}+7t\right)
Rewrite 36a^{4}-49t^{2} as \left(6a^{2}\right)^{2}-\left(7t\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(-7t+6a^{2}\right)\left(7t+6a^{2}\right)
Reorder the terms.