$(3 a - 1)^{2} - 6 a + 2 =$ _____

(3 a - 1) (3 a - 2)

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(3 a - 1) (3 a + 2)

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3 (3 a - 1) (a - 1)

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(3 a - 1) (3 a + 3)

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Solution

The correct option is C $3 (3 a - 1) (a - 1)$
${(3 a - 1)}^{2} - 6 a + 2$
$= {(3 a - 1)}^{2} - 2 (3 a - 1)$
$= (3 a - 1) (3 a - 1 - 2)$
$= (3 a - 1) (3 a - 3)$
$= 3 (3 a - 1) (a - 1)$

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