因式分解：a(x^2-2x)^2-2ax(2-x)+a_数学解答

因式分解：a(x^2-2x)^2-2ax(2-x)+a

人气：243 ℃　时间：2020-05-04 19:45:39

解答

a(x^2-2x)^2-2ax(2-x)+a
=a[x^2(x-2)^2+2x(x-2)+1]
=a[x(x-2)+1]^2
=a(x^2-2x+1)^2
=a(x-1)^4