Question

c^2+25/c^2-25-c/c+5 спростіть вираз

Answer 1

$frac{c^2+25}{c^2-25}- frac{c}{c+5} = frac{c^2+25}{(c-5)(c+5)}- frac{c}{c+5} = frac{c^2+25-c(c-5)}{(c-5)(c+5)}=frac{c^2+25-c^2+5c}{(c-5)(c+5)}= \\ =frac{5c+25}{(c-5)(c+5)}=frac{5(c+5)}{(c-5)(c+5)}=frac{5}{c-5}$