To expand (2x-3y)(x-5y), we use the distributive property of multiplication, which states that a(b+c) = ab + ac. Applying this property, we get:
(2x-3y)(x-5y) = 2x(x-5y) - 3y(x-5y)
= 2x^2 - 10xy - 3xy + 15y^2
= 2x^2 - 13xy + 15y^2
Therefore, the answer is (2x^2 - 13xy + 15y^2).