\(\displaystyle{ 0,25\cdot5^{64}-(5^{32}+1)(5^{16}+1)(5^{8}+1)(5^4+1)(5^2+1)\cdot6=?}\)
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\(\displaystyle{ 0,25\cdot5^{64}-(5^{32}+1)(5^{16}+1)(5^8+1)(5^4+1)(5^2+1)\cdot6=\\
=0,25\cdot5^{64}-(5^{32}+1)(5^{16}+1)(5^8+1)(5^4+1)(5^2+1)(5^2-1)\cdot\frac6{24}=\\
=0,25\cdot5^{64}-0,25\cdot(5^{32}+1)(5^{16}+1)(5^8+1)(5^4+1)(5^4-1)=\\
=0,25\cdot5^{64}-0,25\cdot(5^{32}+1)(5^{16}+1)(5^8+1)(5^8-1)=\\
=0,25\cdot5^{64}-0,25\cdot(5^{32}+1)(5^{16}+1)(5^{16}-1)=\\
=0,25\cdot5^{64}-0,25\cdot(5^{32}+1)(5^{32}-1)=\\
=0,25\cdot5^{64}-0,25\cdot(5^{64}-1)=0,25}\)
=0,25\cdot5^{64}-(5^{32}+1)(5^{16}+1)(5^8+1)(5^4+1)(5^2+1)(5^2-1)\cdot\frac6{24}=\\
=0,25\cdot5^{64}-0,25\cdot(5^{32}+1)(5^{16}+1)(5^8+1)(5^4+1)(5^4-1)=\\
=0,25\cdot5^{64}-0,25\cdot(5^{32}+1)(5^{16}+1)(5^8+1)(5^8-1)=\\
=0,25\cdot5^{64}-0,25\cdot(5^{32}+1)(5^{16}+1)(5^{16}-1)=\\
=0,25\cdot5^{64}-0,25\cdot(5^{32}+1)(5^{32}-1)=\\
=0,25\cdot5^{64}-0,25\cdot(5^{64}-1)=0,25}\)