SOLUTION: Perform the indicated operations and reduce to lowest terms 2/x-3+3/3-x

Question 164947This question is from textbook
: Perform the indicated operations and reduce to lowest terms
2/x-3+3/3-x This question is from textbook

Answer by MRperkins(300) (Show Source): You can put this solution on YOUR website!
I am guessing that you have left out some parenthesis(). If in doubt put parenthesis around nearly everything. I think the problem is supposed to be 2/(x-3)+3/(3-x) which looks like this:
However the problem that you wrote would have looked like this:
With that said...
in order to add two numbers they must have the same denominator. If we look at the denominators:x-3 and 3-x we notice that one of them is the exact opposite of the other or the negative. So factor out a -1 from 3-x and you get -1(-3+x) which can be written -1(x-3)
.
So now we have
.
Multiply the top and bottom of: by -1
and you get:
Now the whole formula can be written
.
Since the denominators are the same now we can add the two expressions.

or
.
.
Feedback appreciated
Donations accepted through PayPal @ justin.sheppard.tech@hotmail.com
RELATED QUESTIONS
Perform the indicated operation. Reduce each answer to lowest terms. 3/x+1 +... (answered by nyc_function)

Perform the indicated operation. Reduce each answer to lowest terms. x/3 +... (answered by edjones)

perform the indicated operations and reduce answers to lowest terms. Represent any... (answered by ewatrrr)

perform the indicated operations and reduce answers to lowest terms. Represent any... (answered by Fombitz)

Perform the indicated operations. Reduce all answers to lowest terms.... (answered by checkley77)

perform the indicated operations and reduce to lowest terms: 3x/2x-3+3x+6/2x^2+x-6.... (answered by ad_alta)

Rational Expressions: Problem 1.Perform the indicated operation. Reduce each answer to (answered by JBarnum)

build each rational expression into an equivalent rational expression with the indicated... (answered by ankor@dixie-net.com)

perform the operation and reduce answer to the lowest term: 2 + 3 x-3... (answered by tutorcecilia)