If `x+y=1`,show that `D^n(x^ny^n)=n![y^n-(nC_1)^2 y^(n-1) x+(nC_2)^2 y^(n-2) x^2+.....+(-1)^
4,778 views · Published 13 October 2018 · 5:08 · Indexed 26 September 2026
Channel: Doubtnut · 2018 · Education
To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW If `x+y=1`,show that `D^n(x^ny^n)=n![y^n-(nC_1)^2 y^(n-1) x+(nC_2)^2 y^(n-2) x^2+.....+(-1)^n x^n]`
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