Question

Упростите пример на изображении

Answer 1

$\displaystyle \tt \frac{\sqrt{x}-1}{3\sqrt{x}-12}-\frac{\sqrt{x}-2}{2\sqrt{x}-8}=\frac{\sqrt{x}-1}{3(\sqrt{x}-4)}-\frac{\sqrt{x}-2}{2(\sqrt{x}-4)}=\frac{2(\sqrt{x}-1)-3(\sqrt{x}-2)}{6(\sqrt{x}-4)}=\frac{2\sqrt{x}-2-3\sqrt{x}+6}{6(\sqrt{x}-4)}=\frac{-\sqrt{x}+4}{6(\sqrt{x}-4)}=\frac{-(\sqrt{x}-4)}{6(\sqrt{x}-4)}=\boxed{-\frac{1}{6}}$