`y=(x^(2)-1)^(m)` `=""^(m)C_(o)(x^(2))^(m-m)C_(1)(x^(2))^(m-1)+C_(2)(x^(2))^(m-2)+...` Since the degree of expression is '2m', on differentiating '2m' times, all the terms except first terms vanish. `therefore" "(d^(2m))/(dx^(2m))(x^(2)-1)^(m)=""^(m)C_(0)2m(2m-1)(2m-2)...1=(2m)!`
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