a)\(\left(-57\right).11\)
\(=\left(-57\right)\left(10+1\right)\)
\(=\left(-57\right).10+\left(-57\right).1\)
\(=\left(-570\right)+\left(-57\right)\)
\(=-\left(570+57\right)\)
\(=-627\)
b) \(75.\left(-21\right)\)
\(=75.\left(-20-1\right)\)
\(=75\left(-20\right)-75.1\)
\(=-1500-75\)
\(=-1575\)