Mathematics

Factorize:

2(x - 3)2 - 32

Factorisation

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Answer

Given,

⇒ 2(x - 3)2 - 32

⇒ 2[(x - 3)2 - 16]

⇒ 2[(x - 3)2 - (4)2]

⇒ 2(x - 3 + 4)(x - 3 - 4)

⇒ 2(x - 3 + 4)(x - 3 - 4)

⇒ 2(x + 1)(x - 7).

Hence, 2(x - 3)2 - 32 = 2(x + 1)(x - 7).

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