Rational expressions with different denominator

latresa31s

Junior Member
Joined
Sep 4, 2005
Messages
135
this problem is adding and subtracting rational espressions with different denominators.

can someone show me how to work this problem?

4x/2x^2 + x -10 - 9x/x^2 + x - 6
 

ctelady

New member
Joined
May 15, 2005
Messages
17
This problem is adding and subtracting rational espressions with different denominators.



4x/[2x^2 + x -10] - 9x/ [x^2 + x - 6] Factor the denoms -->
Factoring is a process of un-FOILing:
2x^2 + x -10 = (2x +5)(x-2)
x^2 + x - 6 = (x+3)(x-2)
Since both denoms include (x-2), we need it just once as a factor for the common denom -- (2x+5)(x-2)(x+3)

Now multiply each fract ion by the common denom to find the new numerators. Combine the new numerators and keep the common denom.
 
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