ta có: 5,7.(7,865.31,41)= \(5,7.7,865.31,41\)
\(\left(5,7.7,865\right).\left(5,7.31,41\right)\)= \(5,7.7,865.5,7.31,41\)
vì \(5,7.7,865.31,41=5,7.7,865.31,41\)
\(\Rightarrow5,7.7,865.31,41< 5,7.7,865.5,7.31,41\)
\(\Rightarrow5,7.\left(7,865.31,41\right)=\left(5,7.7,865\right).\left(5,7.31,41\right)\) là sai
Khi bỏ ngoặc ra ta có:
5,7 . 7,865 . 31,41 = 57,7 . 7,865 . 5,7 . 31,41
Ta có: 5,7 . 7,865 . 31,41 = 5,7 . 7,865 . 31,41
\(\Rightarrow\) 5,7 . 7,865 . 31,41 < 57,7 . 7,865 . 5,7 . 31,41
Vậy đẳng thức này là sai.