[tex]\displaystyle\bf\\7m\cdot(m^{3}-8m^{2}+9)=7m\cdot m^{3}-7m\cdot 8m^{2} +7m\cdot 9=\\\\=7m^{1+3} -56m^{1+2} +63m=7m^{4} -56m^{3} +63m[/tex]
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[tex]\displaystyle\bf\\7m\cdot(m^{3}-8m^{2}+9)=7m\cdot m^{3}-7m\cdot 8m^{2} +7m\cdot 9=\\\\=7m^{1+3} -56m^{1+2} +63m=7m^{4} -56m^{3} +63m[/tex]