SOLUTION: Subtract {{{(1)/(x^2-2x)-5/(x^2-4x+4)}}}

Question 153924: Subtract

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

Factor to get

Factor to get

Notice how the LCD is

Multiply the first fraction by

Combine and multiply the fractions

Multiply the second fraction by

Combine and multiply the fractions

Since the denominators are now equal, this means that we can subtract the fractions. To do this, simply subtract the numerators and place that over the common denominator.

Combine like terms.

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Answer:

So subtracts and simplifies to

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