SOLUTION: Perform the indicated operations and simplify. {{{(y-2)/(y-9) - (y+1)/(y+9) + (y-135)/(y^2-81)}}} I got {{{41/18}}} as an answer but do not think this is correct.

Question 197366: Perform the indicated operations and simplify.

I got as an answer but do not think this is correct.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Factor the last denominator.

Take note that the LCD is . In order to add/subtract these fractions, we need to get EVERY denominator equal to the LCD.

Multiply the first fraction by

FOIL

Multiply the second fraction by

FOIL

Now that every denominator is equal, we can add/subtract the fractions.

Combine the fractions.

Distribute

Combine like terms.

Factor

Highlight the common terms.

Cancel out the common terms.

Simplify.

So simplifies to

In other words,

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