Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Sum of coefficients of terms which contains integral powers of x in the expansion (2 + 
) 30 is-
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
(2 + 
) 30 = 30 C 0 2 30 + 30 C 1 2 29 
+
30 C 2 2 28 ( 
) 2 + ..... 30 C 30 ( 
) 30 S =
30 C 0 2 30 + 30 C 2 2 28 + 30 C 4 2 26 + ..... + 30 C 30
(x + 1) 30 = 30 C 0 x 30 + 30 C 1 x 29 + .... 30 C 30 x 0
put x = 2
3 30 = 30 C 0 2 30 + 30 C 1 2 29 + ....... + 30 C 30 x = –2
1 = 30 C 0 2 30 – 30 C 1 2 29 + ...... + 30 C 30
= 30 C 0 2 30 + 30 C 2 2 28 + ...... + 30 C 30
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