a: \(125\left(19-135\right)-135\left(19-125\right)\)
\(=125\cdot19-125\cdot135-135\cdot19+135\cdot125\)
\(=125\cdot19-135\cdot19\)
\(=19\left(125-135\right)=-10\cdot19=-190\)
b: \(\left(-125\right)\left(135-19\right)-135\left(19-135\right)\)
\(=-125\cdot135+125\cdot19-135\cdot19+135^2\)
\(=135^2-135\cdot125+125\cdot19-135\cdot19\)
\(=135\left(135-125\right)+19\left(125-135\right)\)
\(=135\cdot10-19\cdot10\)
\(=116\cdot10=1160\)
c: \(125\left(19-135\right)+135\left(125-19\right)\)
\(=125\cdot19-125\cdot135+135\cdot125-135\cdot19\)
\(=125\cdot19-135\cdot19\)
\(=19\left(125-135\right)=19\cdot\left(-10\right)=-190\)
d: \(146\left(46-259\right)+259\left(146-46\right)\)
\(=146\cdot46-146\cdot259+259\cdot146-259\cdot46\)
\(=146\cdot46-259\cdot46\)
\(=46\left(146-259\right)\)
\(=46\cdot\left(-113\right)=-5198\)
e: \(195\left(17-185\right)-185\left(17-185\right)\)
\(=195\cdot17-195\cdot185-185\cdot17+185^2\)
\(=\left(195\cdot17-185\cdot17\right)-\left(195\cdot185-185^2\right)\)
\(=17\left(195-185\right)-185\left(195-185\right)\)
\(=10\left(17-185\right)=-168\cdot10=-1680\)
g: \(\left(-146\right)\left(19-156\right)+156\left(19-146\right)\)
\(=-146\cdot19+146\cdot156+156\cdot19-156\cdot146\)
\(=156\cdot19-146\cdot19=19\left(156-146\right)=190\)
h: \(\left(-243\right)\left(25-763\right)+763\left(25-243\right)\)
\(=-243\cdot25+243\cdot763+763\cdot25-763\cdot243\)
\(=763\cdot25-243\cdot25\)
\(=25\left(763-243\right)=520\cdot25=13000\)
