SOLUTION: Please Help!! Perform the indicated operation. x/x-3 MINUS 2/3 2/p+5 PLUS 3/p+1

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Question 117830: Please Help!!
Perform the indicated operation.
x/x-3 MINUS 2/3

2/p+5 PLUS 3/p+1

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2F%28x-3%29%29-%282%2F3%29

Here we have two different denominators, so you need to find the lowest common denominator. The two denominators also don't have any common factors in this problem, so the LCD is just the product of the denominators.

LCD: 3%28x-3%29

Multiply the first term by 3%2F3 and the second term by %28x-3%29%2F%28x-3%29:

3x%2F%283%28x-3%29%29-%282%28x-3%29%29%2F%283%28x-3%29%29

Expand, and collect terms

%283x-2x%2B6%29%2F%283%28x-3%29%29
%28x%2B6%29%2F%283x-9%29

Do the second one the same way. Hint: the LCD for the second problem is %28p%2B5%29%28p%2B1%29, and that means that you need to multiply the first term by %28p%2B1%29%2F%28p%2B1%29. I'll leave figuring out the second term multiplier and the rest of the algebra to you. Good luck. Write back if you are still having difficulty.