Question

$1) frac{2b-5}{ b^{2}-5b }+ frac{1}{5-b}$

Answer 1

$frac{2b-5}{b^2-5b} + frac{1}{5-b}= frac{2b-5}{b(b-5)} - frac{1}{b-5}= frac{2b-5-b}{b(b-5)} =frac{b-5}{b(b-5)} = frac{1}{b}$