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The factor of the given expression by factorizing (3x^2 − 12x)(x^2 − 2x + 1) is 3x(x - 4)(x - 1)^2.

What is factorization?

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

The given expression

[tex](3x^2-12x)(x^2-2x+1)[/tex]

[tex]x(3x-12)(x^2-2x+1)\\3x(x-4)(x^2-2x+1)\\3x(x-4)(x-1)(x-1)\\3x(x-4)(x-1)^{2}[/tex]

The factor of the given expression [tex](3x^2-12x)(x^2-2x+1)[/tex] is [tex]3x(x-4)(x-1)^{2}[/tex].

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