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AP EAMCET202420 May 2024Evening ShiftMathematicsBinomial TheoremActual

If |x| 2 2 then the 4^ th term in the expansion of (3 x-2)^ 2 / 3 is

Options

  1. A[3] 4 6 x^3
  2. B- [3] 4 6 x^3
  3. C[3] 4 8 x^3
  4. D- [3] 4 8 x^3

Correct answer

B. - [3] 4 6 x^3

Step-by-step solution

(3 x-2)^ 2 3 = [-2 (1- 3 x 2 ) ]^ 2 3 =(-2)^ 2 3 (1- 3 x 2 )^ 2 3 aligned & = [3] 4 (1- 3 x 2 )^ 2 3 & T₄=- [3] 4 2 3 ( 2 3 -1 ) ( 2 3 -2 ) 3! ( 3 x 2 )^3 & =- [3] 4 1 6 2 3 ( -1 3 ) ( -4 3 ) 27 8 x^3=- [3] 4 6 x^3 aligned

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