Question

19 помогите пожалуйста)

Answer 1

$(3^{2} +1) (3^{4} +1) (3^{8} +1) (3^{16} +1) (3^{32} +1) - frac{1}{8} * 3^{64} = \ = frac{ (3^{2} -1)(3^{2} +1) (3^{4} +1) (3^{8} +1) (3^{16} +1) (3^{32} +1)}{(3^{2} -1)} - frac{1}{8} * 3^{64} = \ = frac{ (3^{4} -1) (3^{4} +1) (3^{8} +1) (3^{16} +1) (3^{32} +1)}{(3^{2} -1)} - frac{1}{8} * 3^{64} = \ = frac{ (3^{8} -1) (3^{8} +1) (3^{16} +1) (3^{32} +1)}{(3^{2} -1)} - frac{1}{8} * 3^{64} = \ = frac{ (3^{16} -1) (3^{16} +1) (3^{32} +1)}{(3^{2} -1)} - frac{1}{8} * 3^{64}=$
$= frac{ (3^{32} -1) (3^{32} +1)}{3^{2} -1} - frac{1}{8} * 3^{64}= \ = frac{ 3^{64} -1}{9 -1} - frac{1}{8} * 3^{64}= frac{ 3^{64} -1}{8} -frac{ 3^{64}}{8}=frac{ 3^{64} -1-3^{64} }{8} = - frac{1}{8}$