SOLUTION: ((x-3)/(x^2-2x-15))+((x+2)/(5-x))

Question 151424: ((x-3)/(x^2-2x-15))+((x+2)/(5-x))
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

Simplify.

Now let's find the LCM of the denominators and . It turns out that the LCM of these denominators is . So the goal is to get both denominators to the LCD

Multiply the 2nd fraction by

Combine the fractions.

FOIL

Combine like terms.

Add the fractions.

Combine like terms.

FOIL the denominator.

So adds and simplifies to

In other words, where or
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