[tex]n = {3}^{2011} + 2 \times {3}^{2010} + {3}^{2009} + {3}^{2008} [/tex]
[tex]n = {3}^{2008} ( {3}^{3} + 2 \times {3}^{2} + 3 + 1)[/tex]
[tex]n = {3}^{2008} (27 + 2 \times 9 + 4)[/tex]
[tex]n = {3}^{2008} (27 + 18 + 4)[/tex]
[tex] n = {3}^{2008} (45 + 4)[/tex]
[tex] n= {3}^{2008} \times 49[/tex]
[tex] n= {3}^{1004 \times 2} \times {7}^{2} [/tex]
[tex]n = { ({3}^{1004} )}^{2} \times {7}^{2} [/tex]
[tex]n = {( {3}^{1004} \times 7)}^{2} = > p.p[/tex]
