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Mathematics

Factorize:

2x4 - 32

Factorisation

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Answer

Given,

⇒ 2x4 - 32

⇒ 2(x4 - 16)

⇒ 2[(x2)2 - (4)2]

⇒ 2(x2 + 4)(x2 - 4)

⇒ 2(x2 + 4)[(x)2 - (2)2]

⇒ 2(x2 + 4)(x + 2)(x - 2)

Hence, 2x4 - 32 = 2(x2 + 4)(x + 2)(x - 2).

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