Question

решите пж!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

$\displaystyle \frac{ab}{a^2-b^2}:\frac{a^2b^2}{a-b}=\frac{ab}{(a-b)(a+b)}\cdot\frac{a-b}{(ab)^2}=\frac{1}{(a+b)ab}\\\\\\a=5+\sqrt5,\quad b=5-\sqrt5\\\\\frac{1}{(5+\sqrt5+5-\sqrt5)(5+\sqrt5)(5-\sqrt5)}=\frac{1}{10(25-5)}=\frac{1}{10\cdot20}=\boxed{\frac{1}{200}}$