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Previous Year Question (PYQs)



The coefficient of the middle term in the expansion of $(2 + 3x)^4$ is





Solution

Total terms = $4 + 1 = 5$ Middle term = $\dfrac{5 + 1}{2} = 3^\text{rd}$ term $\text{T}_3 = \binom{4}{2} (2)^{2} (3x)^{2} = 6 \times 4 \times 9x^2 = 216x^2$ Coefficient = 216


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