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
- A1
- B9
- C-2
- 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