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COMEDK2020MathematicsBinomial Theorem

The ninth term of the expansion (3 x- 1 2 x )⁸ is

Options

  1. A-1 512 x⁹
  2. B1 5 ! 2 x⁹
  3. C1 256 x⁸
  4. D-1 256 x⁸

Correct answer

C. 1 256 x⁸

Step-by-step solution

T₉=T_ 8+1 aligned &= 8 g (3 x)⁸⁻⁸ ( -1 2 x )⁸ &= 8 8 (3 x)¹⁰ ( -1 2 x )⁸ &=1 1 1 2⁸ x⁸ = 1 256 x⁸ aligned

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