Factorise : a – b – a2 + b2 (A) (a-b) [1-(a+b)] (B) (a+b) [1-(a-b)] (C) (a-b) [1-(a-b)] (D) none of these

Given

a – b – a2 + b2

a – b – a2 + b2 = (a – b) – (a2 – b2)

We know that,

(a2 – b2) = (a – b) (a + b)

⇒ (a – b) – (a – b) (a + b) 

We get,

= (a – b) [1 – (a + b)]

Therefore,

The correct answer is option (A)

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