因式分解:a(x^2-2x)^2-2ax(2-x)+a

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因式分解:a(x^2-2x)^2-2ax(2-x)+a
因式分解:a(x^2-2x)^2-2ax(2-x)+a

因式分解:a(x^2-2x)^2-2ax(2-x)+a
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

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