Q2 of 13 Page 48

Factorize: 1 – 2ab – (a2 + b2)

1 – 2ab – (a2 + b2)
= 1 – 2ab – a2 – b2
= 1 – (2ab + a2 +b2)

We know that (a + b) 2 = a2 + b2 + 2ab


= 12 – (a + b)2


We also know that, a2 – b2 = (a + b) (a – b)


= (1 + a + b) × (1 – a – b)


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