SOLUTION: (x-11)/(x^2-9) - (x-7)/x^2-3x)
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Question 111373: (x-11)/(x^2-9) - (x-7)/x^2-3x)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression
Factor the first denominator
Factor the second denominator
So in order to combine these fractions, we need the LCD. So to find the LCD, simply pull out the unique factors x, x+3, and x-3 to get the LCD . So we want our denominators to get to this term
Multiply the first fraction by
Multiply the fractions
Multiply the second fraction by
Foil and multiply
Since we now have a common denominator of , we can combine the fractions
Combine the fractions
Distribute the negative
Combine like terms
Factor out -7
Cancel like terms
Simplify
So simplifies to
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