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BINOMIAL THEOREM — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSBINOMIAL THEOREM1 Mark
MCQ
The sum of the coefficients in the expansion of $(1 + 5x - 7x^3)^{3165}$ is:
  • A
    1
  • B
    $2^{3165}$
  • C
    $2^{3164}$
  • ✓
    -1
✓

Answer

Correct option: D.
-1
  1. -1
Solution:
To get sum of coefficient put x = 1
Hence sum of the coefficients in the expansion of $(1 + 5x - 7x^3)^{3165}$ is,
$= (1 + 5 - 7)^{3165} = (-1)⋅(−1)^{3164} = -1$

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