Factor completely. (3x2 – 12x)(x2 – 2x + 1) =

Mathematics · Middle School · Thu Feb 04 2021

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Given the two equations:

(3x^2 - 12x)(x^2 -2x + 1)

Factor completely.

Solution:

for the first equation, we can factor out the common factor 3x, since the greatest common factor of the two values is 3, and x for the term. For the second equation, it can be designated as a perfect square, since the 1st term and the last term is a perfect square, hence, we can factor it with a squared parenthesis.

= (3x^2 - 12x)(x^2 -2x + 1)

= 3x ( x - 4) ( x - 1)^2

Final answer:

= 3x ( x - 4) ( x - 1)^2