Question

If when simplifying 2 rational expressions you got:

(-2(x-3))/2-x

would you multiply the top & bottom by -1?

Thanks!! :)♡

Answer 1

I assume the denominator is (2-x).
If so, you can, it makes it neater
(2(x-3))/(x-2)

Is it necessary? I bet I could find a few middle/high school teachers who would vehemently argue so. If you have one of those, dont argue, just say thanks, I didn't know that. It is not worth arguing.
Math is a language, with a living syntax, and that syntax changes over time...how we express algebraic terms and statements can vary.
The most important thing in your statement above was the parenthesis on the denominator (2-x), that is important.

Answer 2

Ok, that makes sense :) thank you very much