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z\left(36z^{2}-12z+1\right)
Factor out z.
\left(6z-1\right)^{2}
Consider 36z^{2}-12z+1. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=6z and b=1.
z\left(6z-1\right)^{2}
Rewrite the complete factored expression.