87^2+73^2-27^2-13^2
=(87+73-27-13)^2
=120^2
=14400
\(87^2+73^2-27^2-13^2=\left(87^2-27^2\right)+\left(73^2-13^2\right)\)
\(=\left(87-27\right)\left(87+27\right)+\left(73-13\right)\left(73+13\right)\)
\(=60\cdot114+60\cdot86=60\left(114+86\right)=60\cdot200=12000\)