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KCET2017MathematicsDefinite Integration

The total number of terms in the expansion of ( (x+a)⁴⁷-(x-a)⁴⁷ ) after simplification is

Options

  1. A( 24 )
  2. B( 47 )
  3. C(18)
  4. D( 96 )

Correct answer

A. ( 24 )

Step-by-step solution

Given that, ( (x+a)⁴⁷-(x-a)⁴⁷ ) Since, ( n ) is odd. So, number of final terms is given by ( n+1 2 = 47+1 2 = 48 2 =24 )

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