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Mathematics

Factorize :

(4a - 1)2 - 8a + 2

Factorisation

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Answer

Given,

⇒ (4a - 1)2 - 8a + 2

⇒ (4a - 1)2 - 8a + 2

⇒ 16a2 - 8a + 1 - 8a + 2

⇒ 16a2 -16a + 3

⇒ 16a2 -12a - 4a + 3

⇒ 4a(4a - 3) - 1(4a - 3)

⇒ (4a - 1)(4a - 3).

Hence, (4a - 1)2 - 8a + 2 = (4a - 1)(4a - 3).

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