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AP EAMCET2001MathematicsBinomial Theorem

The coefficient of x^4 in the expansion of (1-3 x)^2 (1-2 x) is equal to

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

D. 4

Step-by-step solution

We have, (1-3 x)^2 (1-2 x) = (1+9 x^2-6 x )(1-2 x)⁻¹= (1+9 x^3-6 x ) (1+(2 x)+(2 x)^2+(2 x)^3+ ) Coefficient of x^4=16+36-48=52-58=4

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