Question

Упростить
$frac{c-3}{c} - frac{c^2-9}{c} * frac{1}{c-3}$

Answer 1

$displaystyle frac{c-3}{c} - frac{c^2-9}{c}cdot frac{1}{c-3} =frac{c-3}c-frac{(c-3)(c+3)}{c(c-3)}=frac{c-3}c-frac{c+3}c=\=frac{(c-3)-(c+3)}c=-frac6c$