The expression 2y^2 - 15xy + 18x^2 can be factored as (2y - 3x)(y - 6x).
To factor this expression, we look for two binomials that multiply to the given expression and have a common factor. In this case, (2y - 3x) and (y - 6x) are two binomials that multiply to 2y^2 - 15xy + 18x^2 and have a common factor of y - 6x.
So, the factorization of 2y^2 - 15xy + 18x^2 is (2y - 3x)(y - 6x).