SOLUTION: (x+9/x^2-9)-(2/x-3) It has been 4 years since I graduated highschool and I'm having trouble remembering how to do this.

Question 148489: (x+9/x^2-9)-(2/x-3)
It has been 4 years since I graduated highschool and I'm having trouble remembering how to do this.
Found 2 solutions by mangopeeler07, jim_thompson5910:
Answer by mangopeeler07(462) (Show Source): You can put this solution on YOUR website!
It's okay, I will help you.

First start with this

Then factor everything you can possibly factor without going into crazy pointless decimals. in other words, factor :

Multiply by

Simplify 2(x+3)

Now do the subtraction

Simplify the numerator

Take out a negative one in the numerator

Cancel out like terms

Did it all come back to you?

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Factor to get (use the difference of squares)

In order to add or subtract any fractions, we need to have every denominator to be the same. So we need to have every denominator equal to the LCD. In this case, the LCD is

Multiply the second fraction by . Doing this will make the second fraction have a denominator equal to the LCD.

Combine the fractions

Distribute

Now that we have equal denominators, we can combine the fractions

Combine the numerators over the common denominator.

Distribute

Combine like terms.

Factor a -1 from the numerator.

Highlight the common terms.

Cancel out the common terms.

Simplify

So simplifies to .

In other words, where or

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