\(a.\left(-57\right)\cdot11=\left(-57\right)\cdot\left(10+1\right)=\left(-57\right)\cdot10+\left(-57\right)=-570-57=-627\)
\(b.75\cdot\left(-21\right)=75\cdot\left(-10\cdot2-1\right)=75\cdot\left(-10\cdot2\right)-75=-1500-75=-1575\)
a) \(-57\cdot11=-57\cdot10-57=-570-57=-627\)
b) \(75\cdot\left(-21\right)=75\cdot\left(-20\right)-75=-1500-75=-1575\)