\(=4x^2-4xy-13xy+13y^2=4x\left(x-y\right)-13y\left(x-y\right)=\left(4x-13y\right)\left(x-y\right)\)
\(4x^2-17xy+13y^2=\left(4x^2-4xy\right)+\left(13y^2-13xy\right)=4x\left(x-y\right)+13y\left(x-y\right)=\left(4x+13y\right)\left(x-y\right)\)
\(4x^2-17xy+13y^2\\ =4x^2-4xy-13xy+13y^2\\ =4x\left(x-y\right)-13y\left(x-y\right) \\ =\left(x-y\right)\left(4x-13y\right)\)