SOLUTION: if a={{{1003*(2006^2007+1/2006^2007)}}} b={{{1003*(2006^2007-1/2006^2007)}}} compute {{{(a^2-b^2)/2006}}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: if a={{{1003*(2006^2007+1/2006^2007)}}} b={{{1003*(2006^2007-1/2006^2007)}}} compute {{{(a^2-b^2)/2006}}}       Log On


   

Question 72901: if a=1003%2A%282006%5E2007%2B1%2F2006%5E2007%29
b=1003%2A%282006%5E2007-1%2F2006%5E2007%29
compute %28a%5E2-b%5E2%29%2F2006
Answer by rahman(247) About Me  (Show Source):
You can put this solution on YOUR website!
%28a%5E2-b%5E2%29%2F2006=%28a%2Bb%29%28a-b%29%2F2006
=========================================
a+b=1003%2A%282006%5E2007%2B1%2F2006%5E2007%29+ 1003%2A%282006%5E2007-1%2F2006%5E2007%29=1003%2A%28%282006%5E2007%2B1%2F2006%5E2007%29%2B+%282006%5E2007-1%2F2006%5E2007%29%29
=1003%2A%282006%5E2007%2B2006%5E2007%2B1%2F2006%5E2007-1%2F2006%5E2007%29%29
=1003%2A%282%2A%282006%5E2007%29%29
=2006%2A%282006%5E2007%29
============================
a-b=1003%2A%282006%5E2007%2B1%2F2006%5E2007%29-1003%2A%282006%5E2007-1%2F2006%5E2007%29=1003%2A%28%282006%5E2007%2B1%2F2006%5E2007%29-+%282006%5E2007-1%2F2006%5E2007%29%29
=1003%2A%282006%5E2007-2006%5E2007%2B1%2F2006%5E2007%2B1%2F2006%5E2007%29%29
=1003%2A%282%2F%282006%5E2007%29%29
=2006%2A%281%2F%282006%5E2007%29%29
============================
%28a%5E2-b%5E2%29%2F2006=%28a%2Bb%29%28a-b%29%2F2006=%282006%2A%282006%5E2007%29%29%2A%282006%2A%281%2F%282006%5E2007%29%29%29%2F2006=%282006%2A2006%29%2A%282006%5E2007%29%2A%281%2F%282006%5E2007%29%29%2F2006=%282006%2A2006%29%2A%281%29%2F2006
=2006