First slide

Binomial theorem for positive integral Index

Question

The sum of the coefficients in the expansion of ${(1 + 5 x - 7 x^{3})}^{3165}$ is

Moderate

A

1
B

$2^{3165}$
C

$2^{3164}$
D

-1

Solution

Putting $x = 1 in {(1 + 5 x - 7 x^{3})}^{3165}$ , the required sum of
coefficients = (1 + 5 – 7)³¹⁶⁵ = (– 1)³¹⁶⁵ = –1.

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