Question

упростите выражение 2x-3/5x-20 - x-2/2x-8
$frac{2x-3}{5x-20} - frac{x-2}{2x-8}$

Answer 1

$frac{2x-3}{5x-20} - frac{x-2}{2x-8} = frac{2x-3}{5(x-4)}- frac{x-2}{2(x-4)} = frac{2(2x-3)-5(x-2)}{10(x-4)} =frac{4x-6-5x+10}{10(x-4)}= \ = frac{-x+4}{10(x-4)} = frac{-(x-4)}{10(x-4)} =- frac{1}{10}$