Factorize:

Question:

Factorize:

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

Solution:

We have:

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

$=(3 a-1)[(3 a-1)-2]$

$=(3 a-1)(3 a-1-2)$

$=(3 a-1)(3 a-3)$

$=3(3 a-1)(a-1)$

 

 

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