SOLUTION: I need help simplifying complex rational expression I tried method 2 w/lcd
x-4/x-1 - x/x-3
___________ _____
3+ 12/x-3
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Question 278468: I need help simplifying complex rational expression I tried method 2 w/lcd
x-4/x-1 - x/x-3
_________________
3+ 12/x-3
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
The LCD of all the "little" fractions is the right approach. The LCD here is:
(x-1)(x-3)
Multiplying the numerator and denominator of the "big" fraction by the LCD we get:
To multiply this we need to use the Distributive Property on both the numerator and denominator:
Now we can start canceling:
leaving:
Now we can finally multiply:
Combining like terms we get:
Now we can reduce the fraction. To reduce fractions you cancel factors which are common to the numerator and denominator. So we need factors:
A factor of 3 will cancel:
No more reducing is possible so we'll multiply out the top and bottom:
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