Express (5x + 3)/((2x - 3)(x + 2)) in partial fractions.

To start, we understand that partial fractions are used so that we can more easily integrate a function. When you add two fractions together, you consider both denominators and find the LCM ; partial fractions is working backwards from this and finding the denominators from a common multiple. The answer to the question is given as: (5x + 3)/((2x - 3)(x + 2)) = (3/(2x - 3)) + (1/(x + 2))