Vedic (Partial Fraction)

Funny Vedic Partial Fraction

$latex E = \frac {2x+1}{x^2 -5x +6} = \frac {2x+1}{(x-3)(x-2)}$

$latex E = \frac {A}{x-3}+ \frac{B}{x-2}$

By quick LOOK:

x =3 => $latex A =\frac {2x+1}{x-2} = 7$
x =2 => $latex B = \frac {2x+1}{x-3}= -5$

=> $latex E = \frac {7}{x-3} - \frac{5}{x-2}$