Question

Write the coefficient of the middle term in the expansion of (1 + x)²ⁿ .

Answer 1

To find: that the middle term in the expansion of \((\frac{2x^2}3+\frac{3}{2x^2})^{10}\) is 252.

Formula Used: A general term, T_r+1 of binomial expansion (x + y)ⁿ is given by,

Total number of terms in the expansion is 11 

Thus, the middle term of the expansion is T₆ and is given by,

Thus, the middle term in the expansion of \((\frac{2x^2}3+\frac{3}{2x^2})^{10}\) is 252.