Answer :

We have,

1 – (b – c)^{2}

= (1)^{2} – (b –c)^{2}

By using the formula a^{2} – b^{2} = (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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