2的x次方+2的(-x)次方=a8的x次方+8的(-x)次方=(2^x)^3+(2^-x)^3=[2^x+2^(-x)][(2^x)^2-2^x*2^(-x)+(2^(-x))^2]=a*[(2^x+2^(-x))^2-2*2^x*2^(-x)-2]=a[a^2-2-2]=a(a^2-4)=a^3-4a