\(45^2+40^2-15^2+80.45\)
\(=45^2+2.40.45+40^2-15^2\)
\(=\left(45+40\right)^2-15^2=85^2-15^2\)
\(=\left(85-15\right)\left(85+15\right)=7000\)
\(45^2+40^2-15^2+80x45\\ =\left(45+40\right)^2-15x^2\\ =\left(45+40-15\right)\left(45+40+15\right)\\ =70.100=70000\)