i do not know some of the strategies of my home work. I don't know all of the distributive propertyequations. Can some one help?

The distributive property basically means that you are going to multiply everything on the outside of the parenthesis bit everything on the inside of the parenthesis.

For example: in 2(4+x), you need to multiply 2 by 4 and 2 by x to get 8+2x

This is true also for variables: in x(3-2x), you need to multiply x by 3 and x by 2x to get 3x-2x^2

And for other equations: in (2+x)(3+x), you need to use FOIL (Front, Outside, Inside, Last). Multiply the following -->Front: 2*3, Outside: 2*x, Inside: x*3, and Last: x*x, combine like terms, and you end up with x^2+5x+6