6(7十1)(49十1)(7的4次方十1)(7的8次方十1)
=(7-1)(7十1)(7²十1)(7⁴十1)(7的8次方十1)
=(7²-1)(7²十1)(7⁴十1)(7的8次方十1)
=(7⁴-1)(7⁴十1)(7的8次方十1)
=(7的8次方-1)(7的8次方十1)
=7的16次方-1
6(7十1)(49十1)(7的4次方十1)(7的8次方十1)
=(7-1)(7十1)(7^2十1)(7的4次方十1)(7的8次方十1)
=(7^2-1)(7^2十1)(7的4次方十1)(7的8次方十1)
=(7^4-1)(7的4次方十1)(7的8次方十1)
=(7^8-1)(7^8+1)
=7^16-1