[tex]\displaystyle\bf\\16m^{2} +24mn+*=16m^{2} +24mn+ \ \boxed{9n^{2}} =\\\\=(4m)^{2} +2\cdot 4m\cdot 3n+(3n)^{2} =(4m+3n)^{2} \\\\Otvet \ : \ 9n^{2}[/tex]
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[tex]\displaystyle\bf\\16m^{2} +24mn+*=16m^{2} +24mn+ \ \boxed{9n^{2}} =\\\\=(4m)^{2} +2\cdot 4m\cdot 3n+(3n)^{2} =(4m+3n)^{2} \\\\Otvet \ : \ 9n^{2}[/tex]