1、
2^2011 - 2^2010
= 2^2010×(2-1)
= 2^2010
2、
a^2n - 2a^(2n-1)
= a^(2n-1)×(a-2)
3、
(1-x)+(x-1)³
= ( x - 1) [ (x-1)² - 1 ]
=(x-1)(x²-2x+1-1)
=(x-1)x(x-2)
=x(x-1)(x-2)
4、
3^(x+1) × 2^x - 3^x × 2^(x+1) = 6^6
3×3^x × 2^x - 2×3^x × 2^x = 6^6
3×(3 × 2)^x - 2×(3 × 2)^x = 6^6
(3-2) × 6^x = 6^6
6^x = 6^6
x = 6
5、
x²+ax-12
因为-12可以分解为(-12)×1,(-6)×2,(-4)×3,(-3)×4,(-2)×6,(-1)×12 六种
所以a的个数是6