The correct answer is: [A]: " - 8d +<span> 3 " . _________________________________________________________ Explanation: _________________________________________________________ Note the "distributive property" of multiplication: _________________________________________________________ a(b + c) = ab + ac ;
</span> a(b − c) = ab − ac . _________________________________________________________
We are given the expression: _________________________________________________________ " - (8d − 3w) " ; and are asked for the simplified expression;
Consider this as:
" -1 (8d − 3w) " ;
The "1" (in this case, "-1" ; since the "negative" sign is already present; is "implied" ; since any value, multiplied by "1", results in that very same value.
So, using the "distributive property of multiplication" ; as explained above ;
→ " -1 (8d − 3w) = (-1 * 8d) − (-1 * 3w) ;
= - 8d − (-3w) ;
= - 8d + 3w ; → {since "subtracting a negative" is the same thing as "adding a positive"};
This answer corresponds to: "Answer choice: [A]: " - 8d + 3w " . ______________________________________________________
An additional note of interest: ______________________________________________________ Another simplified form of the expression would be: " 3w − 8d " ; HOWEVER, this is <u><em>NOT</em></u> among <em><u>ANY</u></em> of the answer choices given.
it depends on the context outside of it to. For example if you were telling a story and that was a detail it would be "was having" but any other context would be "had"
