If n be a positive integer, then in the trinomial expansion…

Maths Binomial Theorem & Mathematical Induction Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

If n be a positive integer, then in the trinomial expansion of (x 2 + 2x + 2) n , the coefficient of

x is 2 n .n

x is 2 n

x 2 is n 2 . 2 n–1

x 3 is 2 n . n+1 C 3

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(a, c, d)

(x 2 + 2x + 2) n = (2 + x(2 + x)) n

= x(2 + x) r

Coeff of x = 2 n .n

Coeff of x 2 = 2 n–1 .n + = n 2. 2 n–1 Coeff. of x

3 = n C 2 . 2 n–2 .4 + n C 3 2 n–3 . 2 3

= 2 n . n+1 C 3

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