A student writes
4x2−5x(x+1)(x−2)2≡Ax+1+B(x−2)2\displaystyle \frac{4x^2-5x}{(x+1)(x-2)^2}\equiv\frac{A}{x+1}+\frac{B}{(x-2)^2}(x+1)(x−2)24x2−5x≡x+1A+(x−2)2B.
Explain the error in the proposed form of the partial fractions.