\(57\cdot25+57:\frac{1}{35}+114\cdot20\)
\(=57\cdot25+57\cdot35+2\cdot57\cdot20\)
\(=57\cdot\left(25+35+2\cdot20\right)\)
\(=57\cdot\left(25+35+40\right)\)
\(=57\cdot100\)
\(=5700\)
\(=57.25+57.35+57.2.20\)
\(=57.\left(25+35+60\right)\)
\(=57.100=5700\)