Using the cumulative and/or associative laws to write two equivalent expressions of x(3y)
x(3y) = y(3x) = 3(xy) = 3*y*x.
To use the cumulative and/or associative laws to write two equivalent expressions of x(3y), we need to take a look at these laws and how they can be applied.
1. Cumulative Law: This law states that you can combine like terms together. For example, a + a can be simplified as 2a.
2. Associative Law: This law states that you can change the grouping of terms without changing the result. For addition or multiplication, it can be written as (a + b) + c = a + (b + c) or (ab)c = a(bc).
Now let's apply these laws to write two equivalent expressions of x(3y).
Expression 1:
Using the cumulative law, we can rewrite x(3y) as 3xy. This means that the expression x(3y) is equivalent to 3xy.
Expression 2:
Using the associative law, we can change the grouping of terms. We can rewrite x(3y) as (x3)y. This means that the expression x(3y) is also equivalent to (x3)y.
So, the two equivalent expressions of x(3y) are 3xy and (x3)y.