Question

If \[ \frac{x+4}{(x+2)^2(x+3)} = \frac{A}{(x+2)^2} + \frac{B}{x+2} + \frac{C}{x+3}, \] then \(A+B+C=\)

• A. \(2\)
• B. \(1\)
• C. \(-1\)
• D. \(3\)

Hint:

For partial fractions, multiply by the complete denominator first, then substitute values that make factors zero.

Answer 1

The Correct Option is A