a)\(69^2-31^2=\left(69-31\right)\left(69+31\right)=38.100=3800\)
\(1023^2-23^2=\left(1023-23\right)\left(1023+23\right)=1000.1046=1046000\)
\(c,\left(27+73\right)^2-2.27.73+54.73\)
\(100^2-54.73+54.73=10000\)
\(d,\left(63-13\right)^2+2.13.63-26.63=50^2=2500\)
\(e,\left(25-15\right)\left(25+15\right)=10.40=400\)
\(i,\left(87-13\right)\left(87+13\right)+\left(73-27\right)\left(73+27\right)\)
\(\left(87-13\right).100+\left(73-27\right).100\)
\(100\left(87-13+73-27\right)=100.120=12000\)