a: \(56\cdot125=56\cdot100+56\cdot25=5600+1400=7000\)
b: \(13\cdot12=\left(10+3\right)\cdot12=120+36=156\)
c: \(39\cdot101=39\cdot100+39=3939\)
d: \(12\cdot53+53\cdot172-53\cdot84\)
=53(12+172-84)
=53*100
=5300
e: \(5\cdot7\cdot77-7\cdot60+49\cdot25-15\cdot42\)
\(=5\cdot7\left(77+7\cdot5\right)-420-630\)
\(=35\cdot112-1050=2870\)