Factor \( 16 x-56 x y+49 y^{2} \)

To factor the expression \( 16x - 56xy + 49y^2 \), we can start by recognizing that it resembles a quadratic form in terms of \( y \). We can rearrange it as: \[ 49y^2 - 56xy + 16x. \] This suggests that we might be able to factor it as a perfect square trinomial. In fact, it can be rewritten as: \[ (7y - 4x)^2. \] Thus, the completely factored form is: \[ (4x - 7y)^2. \] Now you have a neat factored expression that can help simplify further algebraic manipulations or applications!