Partial fractions
Algebraic expressions · Mathematics
Study notes
Q: Write (3x + 5)/((x + 1)(x + 2)) as partial fractions. Step 1: Set (3x + 5)/((x+1)(x+2)) = A/(x+1) + B/(x+2). Step 2: Multiply: 3x + 5 = A(x + 2) + B(x + 1). Step 3: x = -1: 2 = A(1), so A = 2. x = -2: -1 = B(-1), so B = 1. Answer: 2/(x+1) + 1/(x+2).