a) \(A=\left(2^9+2^7+1\right)\left(2^{23}-2^{21}+2^{19}-2^{17}+2^{14}-2^{10}+2^9-2^7+1\right)\)
\(=2^{32}+2^{23}+2^{18}+512-2^{24}-2^{17}+2^{23}-2^{17}-1024+512+1\)
\(=2^{32}+2\cdot2^{23}+2^{18}+1-2^{24}-2\cdot2^{17}\)
\(=2^{32}+2^{14}+2^{18}+1-2^{24}-2^{18}\)
\(=2^{32}+1\)