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AP EAMCET20226 Jul 2022Morning ShiftMathematicsBasics of MathematicsActual

If we resolve the rational fraction 1 (1-2 x)^2(1-3 x) in to partial fractions of the form A 1-3 x + B 1-2 x + C (1-2 x)^2 , then what is themin A, B, C =

Options

  1. A1
  2. B9
  3. C-2
  4. D-6

Correct answer

A. 1

Step-by-step solution

We have a partial tractions 1 (1-2 x)^2(1-3 x) = A 1-3 x + B 1-2 x + C (1-2 x)^2 at x = 1 3 , ~A = g at x = 1 2 , C =-2 and at x =0 ~B =-6 hence A, B, C =-6

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