SOLUTION: [x-5]/[x^2-4]

SOLUTION: [x-5]/[x^2-4] - 3x/[4x(2-x)]

Question 174872: [x-5]/[x^2-4] - 3x/[4x(2-x)]
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
[x-5]/[x^2-4] - 3x/[4x(2-x)]
= Note change in minus signs in 2 places.
=
Now the DEN is the same.
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Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Factor the first denominator to get

Factor the second denominator to get

Reduce

Take note that the LCD is

Multiply the first fraction by (to get the denominator equal to the LCD)

Multiply the second fraction by (to get the denominator equal to the LCD)

Distribute

Add the fractions. This is now possible because the fractions have equal denominators.

Combine like terms.

Factor out the GCF

Highlight the common terms.

Cancel out the common terms.

Simplify

Distribute

So simplifies to

In other words, where , , or
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