Giải:
\(4x^2-17xy+13y^2\)
\(=4x^2-8xy+4y^2+9y^2-9xy\)
\(=4\left(x^2-2xy+y^2\right)+9y^2-9xy\)
\(=4\left(x-y\right)^2+9y\left(y-x\right)\)
\(=4\left(y-x\right)^2+9y\left(y-x\right)\)
\(=\left(y-x\right)\left[4\left(y-x\right)+9y\right]\)
\(=\left(y-x\right)\left(4y-4x+9y\right)\)
\(=\left(y-x\right)\left(13y-4x\right)\)
Vậy ...