Question

x-1-x(x-1)+x(x-1)²-x(x-1)

因式分解;x-1-x(x-1)+x(x-1)的平方-x(x-1)的立方+.-x(x-1)的2011次方+x(x-1)的2012次方

Answer 1

=(x-1)(1-x)+x(x-1)²-x(x-1)³+.-x(x-1)²º¹¹+x(x-1)²º¹²
=-(x-1)²+x(x-1)²-x(x-1)³+.-x(x-1)²º¹¹+x(x-1)²º¹²
=(x-1)³-x(x-1)³+.-x(x-1)²º¹¹+x(x-1)²º¹²
=……
=(x-1)^2013