The following steps are used to rewrite the polynomial expression (x+2y)(x-5y) step 1: x(x-5y)+2y(x-5y). step 2: x^2-5xy+2yx-10y^2. step 3: x^2-5xy+2xy-10y^2. step 4: x^2-3xy-10y^2 identify the property used in each of these steps.

1. distributivity of the multiplication (a+b)(c-d)=a(c-d)+b(c-d)
2. the same
3. comutativity of the multiplication a*b=b*a
4. we give common factor xy: -5xy+2xy=xy(-5+2)=-3xy