TS EAMCET · Maths · Basic of Mathematics
If \(\frac{3 x^2+a x+3}{(2 x+3)\left(x^2+2\right)}=\frac{3}{2 x+3}+\frac{\mathrm{B} x+\mathrm{C}}{x^2+2}\) then \(a(\mathrm{~B}+\mathrm{C})=\)
- A -2
- B 3
- C -3
- D 2
Answer & Solution
Correct Answer
(D) 2
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text {Given } \frac{3 \mathrm{x}^2+\mathrm{ax}+3}{(2 \mathrm{x}+3)\left(\mathrm{x}^2+2\right)}=\frac{3}{2 \mathrm{x}+3}+\frac{\mathrm{Bx}+\mathrm{C}}{\mathrm{x}^2+2} \\ & \frac{3 \mathrm{x}^2+\mathrm{ax}+3}{(2…
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