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9\left(16m^{2}-8mp+p^{2}\right)
Factor out 9.
\left(4m-p\right)^{2}
Consider 16m^{2}-8mp+p^{2}. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=4m and b=p.
9\left(4m-p\right)^{2}
Rewrite the complete factored expression.