Question

$( A+ \frac{1}{2} ) ^{2012} + ( A + \frac{1}{2} ) ^ { -2011}$

Ce fac cu puterile? Le adun? Repedeee!!!! 

Answer 1

=A²⁰¹²+(1/2)²⁰¹²+A⁻²⁰¹¹+(1/2)⁻²⁰¹¹=
=A²⁰¹²+A⁻²⁰¹¹+2⁻²⁰¹²+2²⁰¹¹=
=A²⁰¹¹(A+A°)+2²⁰¹¹(2⁻¹+1)=
=A²⁰¹¹(A+1)+2²⁰¹¹(1/2+1)