Ok, so I'm self-teaching myself Algebra over the summer so that's one less math class I'll have to worry about and I have a question about 2 algebra problems. I'm trying to find out how exactly the author of the book I'm using got the answer to these 2 questions and it would help a lot if you could explain why the answers are the answers. I believe monomial's and polynomial's using the distributive law.
The first 2x^2y(x^2-xy+3y) and the answer in the book was 2x^4y - 2x^3y^2+6x^2y^2
The second a/2 (2a-4+3b) and the answer was a^2-2a+3ab/2
Well for the first and second problems I understood why you got those answers. For the third I think I understand how you got the answer, but not exactly. Unless I'm able to multiply
3y times 2x^2 to get 6x^2y^2 that way, but I didn't think that was the right way.