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\left(6-5g\right)\left(6+5g\right)
Rewrite 36-25g^{2} as 6^{2}-\left(5g\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(-5g+6\right)\left(5g+6\right)
Reorder the terms.