Answer:
Option A) x3 + x2y,+ 3xy - 2xy2 + 6y2
Step-by-step explanation:
Lets try to solve it by applying distributive property, this is, multiplying term by term:
(x + 2y)(x2 - xy + 3y) = x*x^2 + x*(-xy) +x*3y + 2y*x2 + 2y*(-xy) +2y*3y
Operating with the terms:
(x + 2y)(x2 - xy + 3y) = x3 - (x^2)y + 3xy + 2y(x^2) - 2x(y^2) + 6(y^2)
This is equal to option A.
Another way of noticing this was the correct answer is that A is the only one with a term of x3, with was evident to be here as we have x multiplying x3.
