JEE Main · MathematicsEasy

$What is the middle term in the expansion of (x + 1)^{4} ?$

A. $4 x$
B. $4 x^{2}$
C. $6 x^{2}$
D. $6 x$

Show correct answer & step-by-step solution

Correct answer: C — $6 x^{2}$

Solution

When n is even, the middle term is the (\frac{n}{2} + 1) -th term. For n = 4, the middle term is the 3rd term, which is^{4} C_{2} x^{2} (1)^{2} = 6 x^{2} .

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