Task 289
Task 289: test task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. There exist constants $A,$ $B,$ and $C$ so that \ \frac{x + 2}{x(x + 1)(x + 3)} = \frac{A}{x} + \frac{B}{x + 1} + \frac{C}{x + 3}.\ Find the product $ABC.$
The task
There exist constants $A,$ $B,$ and $C$ so that \[\frac{x + 2}{x(x + 1)(x + 3)} = \frac{A}{x} + \frac{B}{x + 1} + \frac{C}{x + 3}.\]Find the product $ABC.$