SOLUTION: Add and Simplify:
1/x-2 - 4/x^2-4 + 3/x+2
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Question 149635: Add and Simplify:
1/x-2 - 4/x^2-4 + 3/x+2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.
Factor to get
So the LCD is
Multiply the first fraction by . Multiply the third fraction by . Doing this will make each denominator the LCD
Combine the fractions.
Distribute
Since the denominators are equal, we can combine the numerators of the common denominator.
Combine like terms.
Factor out the GCF 4 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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