a: \(468^2-412^2-110\cdot412-55^2\)
\(=468^2-412^2-2\cdot412\cdot55-55^2\)
\(=468^2-\left(412+55\right)^2\)
\(=468^2-467^2\)
\(=\left(468-467\right)\left(468+467\right)\)
\(=1\cdot935=935\)
b: \(615^2+250\cdot615+125^2-540^2\)
\(=615^2+2\cdot615\cdot125+125^2-540^2\)
\(=\left(615+125\right)^2-540^2\)
\(=740^2-540^2\)
\(=\left(740-540\right)\left(740+540\right)\)
\(=200\cdot1280=256000\)