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factor(x^{2}-\frac{1}{36})
Cancel out a and a.
\frac{36x^{2}-1}{36}
Factor out \frac{1}{36}.
\left(6x-1\right)\left(6x+1\right)
Consider 36x^{2}-1. Rewrite 36x^{2}-1 as \left(6x\right)^{2}-1^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\frac{\left(6x-1\right)\left(6x+1\right)}{36}
Rewrite the complete factored expression.
x^{2}-\frac{1}{36}
Cancel out a and a.