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What is the coefficient of the middle term in the binomial expansion of `(2+3x)^(4)`?A. 6B. 12C. 108D. 216 |
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Answer» Correct Answer - D Middle term in the expansion of `(x + y)^(n)` `=((n+1)/(2))^(th)` term, if n is odd `=((n)/(2)+1)^(th)` term, if n is even Here n = 4 `therefore` Middle term is `((4)/(2)+1)^(th)=3^(rd)` term `4c_(2) xx 2^(2) xx 3^(2) = 6 xx 4 xx 9 = 216` |
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