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Question -

Factorize: x2 – 1 – 2a – a2.



Answer -

x2 – 1 – 2 a – a2
= x2 – (1 +2a + a2) – (x)2 –(1 + a){
a2 –b2 = (a + b) (a – b)}
= (x + 1 + a) (x – 1 – a)
= (x + a + 1) (x – a – 1)

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