Does there have to be an addition or subtraction sign between numbers inside of a bracket in order for you to expand the bracket, or can it be a division or multiplication sign? For example, can you expand: #24 (x ÷ 5)# or #17 (x xx 8)#?
No. There is a commutative and associative property for both multiplication and addition.
That means you can “expand” parenthetical statements by an external operation. In your examples,
Similarly, with addition
In order to expand by using the distributive law there has to be an addition or subtraction sign in the bracket.
If I understand you to mean the 'distributive law' for expanding, then you will only 'expand' the bracket if there is an addition or subtraction sign in the bracket.
Removing the bracket in each case gives the following:
The reason for the expanding is that
Remember that there is a multiplication sign between the
I hope this helps?