[tex] 35^{37} = 35 * 35^{36} [/tex]
[tex] 35^{36} = ( 35^{12} )^{3} [/tex] cub perfect
[tex] 35^{37} = (35^{12}) ^{3} * 35[/tex]
35 = 27 +8 = [tex] 3^{3} + 2^{3} [/tex]
[tex] 35^{37} = 35^{36} * 35 = (8+27) * 35^{36} [/tex]
= [tex]( 2^{3} + 3^{3} ) * (35^{12} ) ^{3} = 2^{3} * (35^{12} )^{3} + 3^{3} *( 35^{12} )^{3} [/tex]
= [tex](2* 35^{12}) ^{3} + (3* 35^{12} ) ^{3} [/tex]
