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{x}^(3) {y}^(8) term(x + y) ^(11)find the coefficient of the given term in the binomial expansion

User Cwillinx
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1 Answer

14 votes
14 votes

Using the binomial theorem, we have that the expansion of (x+y)^11 is:


\begin{gathered} (x+y)^(11)= \\ x^(11)+11x^(10)y+55x^9y^2+165x^8y^3+330x^7y^4+462x^6y^5+462x^5y^6+330x^4y^7+165x^3y^8+55x^2y^9+11xy^(10)+y^(11) \end{gathered}

notice that the coefficient of the term x^3 y^8 is 165

User LCC
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