\(7x^2-7y^2-14x+14y=7\left(x^2-y^2\right)-14\left(x-y\right)=7\left(x-y\right)\left(x+y\right)-14\left(x-y\right)=7\left(x-y\right)\left(x+y-2\right)\)
\(7x^2-7y^2-14x+14y\)
\(=7\left(x^2-y^2-2x+2y\right)\)
\(=7\cdot\left[\left(x-y\right)\left(x+y\right)-2\left(x-y\right)\right]\)
\(=7\left(x-y\right)\left(x+y-2\right)\)