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AP EAMCET2004MathematicsFunctions

If (x+1) (2 x-1)(3 x+1) = A (2 x-1) + B (3 x+1) , then 16 A+9 B is equal to

Options

  1. A4
  2. B5
  3. C6
  4. D8

Correct answer

C. 6

Step-by-step solution

Given that, aligned & x+1 (2 x-1)(3 x+1) = A (2 x-1) + B (3 x+1) & (x+1)=A(3 x+1)+B(2 x-1) & (x+1)=x(3 A+2 B)+A-B aligned On equating the coefficient of x and constant on both sides, we get On solving Eqs. (i) and (ii), we get aligned A & = 3 5 , B=- 2 5 16 A+9 B & =16 ( 3 5 )+9 (- 2 5 ) & = 48 5 - 18 5 = 30 5 =6 aligned

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