A and B are constants such that \(\frac{4x+5}{x^2+x-2}= \frac{A}{x+2} +\frac{B}{x-1}\). Find \(\frac{B}{x+1} - \frac{A}{x-2}\).
By partial fractions, A = 1 and B = 2, so B/(x + 1) - A/(x - 2) = 2/(x + 1) - 1/(x - 2) = (x - 5)/((x - 2)(x + 1)).
