AP EAMCET · Maths · Basic of Mathematics
If \(\frac{x+1}{(2 x-1)(3 x+1)}=\frac{A}{2 x-1}+\frac{B}{3 x+1}\), then \(16 A+9 B\) is equal to
- A 4
- B 5
- C 6
- D 8
Answer & Solution
Correct Answer
(C) 6
Step-by-step Solution
Detailed explanation
\(\begin{gathered} \frac{x+1}{(2 x-1)(3 x+1)}=\frac{A}{2 x-1}+\frac{B}{3 x+1} \\ x+1=A(3 x+1)+B(2 x-1) \end{gathered}\) Put, \(x=\frac{1}{2} \text { in Eq. }\)…
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