Factorize:

x(x–2)(x–4)+4x-8


Given,


X(x-2) (x-4)+4x-8 = x(x-2) (x-4)+4(x-2)


= (x-2) (x(x-4)+4)


= (x-2) (x2 - 4x + 4)


= (x-2) (x-2)2


= (x-2)3


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