multiply 2xy(x^2-xy+4) by applying the distributive property

Question

multiply the following by applying the distributive property 2xy(x^2-xy+4)

Answer 1

The expression 2xy(x² - xy + 4)

Use distributive property a(b + c) = ab + ac

2xy(x² - xy + 4) = 2xy(x² ) + 2xy(- xy) + 2xy(4)

                         = (2x^{1+ 2} y) - (2x^{1 + 1} y^{1 + 1}) + 8xy

                         = 2x³y - 2x² y² + 8xy