[tex]\displaystyle\bf\\m^{3} -24m^{2} +192m-512=m^{3} -3\cdot m^{2} \cdot 8+3\cdot m\cdot 8^{2} -8^{3} =\\\\\\=(m-8)^{3}[/tex]
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[tex]\displaystyle\bf\\m^{3} -24m^{2} +192m-512=m^{3} -3\cdot m^{2} \cdot 8+3\cdot m\cdot 8^{2} -8^{3} =\\\\\\=(m-8)^{3}[/tex]