Mathematics

Factorize:

x2 - 1 - 2a - a2

Factorisation

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Answer

Given,

⇒ x2 - 1 - 2a - a2

⇒ x2 - (a2 + 2a + 1)

⇒ (x)2 - (a + 1)2

⇒ (x + a + 1)[x - (a + 1)]

⇒ (x + a + 1)(x - a - 1).

Hence, x2 - 1 - 2a - a2 = (x + a + 1)(x - a - 1).

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