Factories:

1 – (b – c)2

We have,


1 – (b – c)2


= (1)2 – (b –c)2


By using the formula a2 – b2 = (a + b)(a – b)


We get,


1 – (b – c)2 = (1)2 – (b –c)2


= {1 + (b – c)}{1 – (b – c)}


= (1 + b – c)(1 – b + c)


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