\(17.12.25+51.2.5+85.14\)
\(=17.12.25+17.3.2.5+17.5.14\)
\(=17.2.2.3.5.5+17.2.3.5+17.5.2.7\)
\(=17.2.5\left(2.3.5+3+7\right)\)
\(=170.40\)
\(=6800\)
17.12.25+51.2.5+85.14
=17.3.4.25+51.2.5+17.5.14
=17.3.(4.25)+51.10+17.5.14
=17.3.100+17.3.10+17.5.7.2
=17.3.100+17.3.10+17.7.10
=17.(3.100+3.10+7.10)
=17.(300+30+70)
=17.400=6800