Question

I don’t understand this at all

Answer 1

9514 1404 393

Answer:

  9(x +y)

Step-by-step explanation:

You observe that both terms have a coefficient of 9. The distributive property lets you factor that out, so you can rewrite the expression as ...

  9x +9y = 9(x +y)

_____

It might help to think of parentheses as a "bag." The expression 9(x+y) tells you the contents of one bag is (x+y) and you have 9 of them. You could think of x, and y as representing two different physical objects, for example, perhaps a ball and a cube.

The first expression, 9x +9y, tells you that you have 9 of each of these objects. The distributive property says this could be the result of dumping the contents of 9 bags, each containing one each of the objects. The expression 9(x+y) is the version of the expression that shows these objects as being grouped into 9 bags.