\(-37\cdot\left(-19\right)+37\cdot\left(-119\right)\)
\(=37\cdot19+37\cdot\left(-119\right)\)
\(=37\cdot\left[19+\left(-119\right)\right]\)
\(=37\cdot\left(-100\right)\)
\(=-3700\)
\(............................\)
\(49^2-49\cdot\left(-52\right)-49\)
\(=49\cdot49-49\cdot\left(-52\right)-49\cdot1\)
\(=49\cdot\left[49-\left(-52\right)-1\right]\)
\(=49\cdot\left[49+52-1\right]\)
\(=49\cdot100\)
\(=4900\)