Find the partial fraction decomposition for the rational function.?

2x / (4x^2 + 12x + 9) 2x / ((2x+3)(2x+3)) 2x / ((2x+3)(2x+3)) = A / (2x+3) + B / (2x+3)² 2x = A (2x + 3) + B 2A = 2 .....? A = 1 3A + B = 0 .....? B = -3 Answer: 1/(2x+3) - 3/(2x+3)².

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