Question

в выражении сделайте подстановку .....

Answer 1

$\dfrac{\dfrac{\sqrt5-3}{2}(\dfrac{\sqrt5-3}{2}+1)(\dfrac{\sqrt5-3}{2}+2)(\dfrac{\sqrt5-3}{2}+3)}{(\dfrac{\sqrt5-3}{2}-1)(\dfrac{\sqrt5-3}{2}+4)} =\\ =\dfrac{\dfrac{\sqrt5-3}{2}\cdot\dfrac{\sqrt5-1}{2}\cdot\dfrac{\sqrt5+1}{2}\cdot\dfrac{\sqrt5+3}{2}}{\dfrac{\sqrt5-5}{2}\cdot\dfrac{\sqrt5+5}{2}} =\\ =\dfrac{(\sqrt{5}-1)(\sqrt{5}+1)(\sqrt{5}-3)(\sqrt{5}+3)}{4(\sqrt{5}-5)(\sqrt{5}+5)}=\\ =\dfrac{(5-1)(5-9)}{4(5-25)}=\\ =\dfrac{-16}{-80}= \boxed{0,2}$