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NDA2023MathematicsBinomial TheoremActual

How many terms are there in the expansion of (3 x-y)^4(x+3 y)^4 ?

Options

  1. A9
  2. B12
  3. C15
  4. D17

Correct answer

C. 15

Step-by-step solution

(3 x-y)^4(x+3 y)^4=[(3 x-y)(x+3 y)]^4= (3 x^2+8 x y-3 y^2 )^4 Number of terms = 4+3-1 3-1 = ^6 C₂=15 .

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