Question 155832
{{{Sec^6A-Tan^6A}}}      =    {{{1+3Sec^2A*Tan^2A}}}
{{{(Sec^2A)^3-Tan^6A}}}
{{{(1+Tan^2A)^3-Tan^6A}}}
{{{(1+Tan^2A)(1+Tan^2A)(1+Tan^2A)-Tan^6A}}}
{{{(1+Tan^2A)(1+2Tan^2A+Tan^4A)-Tan^6}}}
{{{(1+2Tan^2A+Tan^4A+Tan^2A+2Tan^4A+Tan^6A)-Tan^6A}}}
{{{1+2Tan^2A+Tan^4A+Tan^2A+2Tan^4A+Tan^6A-Tan^6A}}}
{{{1+3Tan^2A+3Tan^4A}}}
{{{1+3Tan^2A*(1+Tan^2A)}}}
{{{1+3Tan^2A*Sec^2A}}}
{{{1+3Sec^2A*Tan^2A}}}

Edwin