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

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Solution

(3a – 1)² – 6a + 2

(3a – 1)² – 6a + 2

= (3a – 1)² – 2 (3a – 1)

= (3a – 1) [(3a – 1) – 2]

= (3a – 1) (3a – 3)

= 3(3a – 1) (a – 1)

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