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NDA2019MathematicsBinomial TheoremActual

What is the number of terms in the expansion of [(2 x-3 y)^2 . .(2 x +3 y )^2 ]^2 ?

Options

  1. A4
  2. B5
  3. C8
  4. D16

Correct answer

B. 5

Step-by-step solution

aligned & [(2 x -3 y )^2(2 x +3 y )^2 ]^2 & = [ (4 x ^2-9 y ^2 )^2 ]^2= (4 x ^2-9 y ^2 )^4 & Number of terms =4+1=5 aligned

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