x²-5xy+4y²

The expression \( x^2 - 5xy + 4y^2 \) is a quadratic in terms of the variables \( x \) and \( y \). To analyze or factor this expression, we can treat it as a quadratic in \( x \).

Let’s factor it:

We look for two numbers that multiply to \( 4y^2 \) (the constant term) and add up to \( -5y \) (the coefficient of the linear term in \( x \)).

The numbers that satisfy this are \( -4y \) and \( -y \).

Thus, we can factor the quadratic as follows:

\[ x^2 - 5xy + 4y^2 = (x - 4y)(x - y) \]

This is the factored form of the expression.

If you have further questions or need other types of help with this expression, feel free to ask!