Вычислите: (3-1)(3+1)(3^2+1)(3^4+1)(3^16+3^8+1)-3^24

[latex](3-1)(3+1)(3^2+1)(3^4+1)(3^{16}+3^8+1)-3^{24}=[/latex] [latex](3^2-1)(3^2+1)(3^4+1)(3^{16}+3^8+1)-3^{24}=[/latex] [latex](3^4-1)(3^4+1)(3^{16}+3^{8}+1)-3^{24}=[/latex] [latex](3^8-1)((3^8)^2+3^8+1)-3^{24}=[/latex] [latex](3^8)^3-1-3^{24}=[/latex] [latex]3^{24}-1-3^{24}=[/latex] [latex]-1[/latex]