SOLUTION: Hello everyone. I was hoping someone could show me how to do the following. Write (1 / (x - 3)) - (4 / (x - 2)) as a single fraction with no common factors. Steps and explanatio

Algebra ->  Equations -> SOLUTION: Hello everyone. I was hoping someone could show me how to do the following. Write (1 / (x - 3)) - (4 / (x - 2)) as a single fraction with no common factors. Steps and explanatio      Log On


   



Question 204046: Hello everyone. I was hoping someone could show me how to do the following. Write
(1 / (x - 3)) - (4 / (x - 2))
as a single fraction with no common factors.
Steps and explanations would be nice.
Thanks, -nick.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write
(1 / (x - 3)) - (4 / (x - 2))
as a single fraction with no common factors.
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lcd = (x-3)(x-2)
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Write each fraction with the lcd as its denominator:
---
(x-2)/lcd - [4(x-3)]/lcd
---
Combine the numerators over the lcd:
[x-2 -4(x-3)]/lcd
Simplify:
[-3x +10]/[x-3)(x-2)]
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Cheers,
Stan H.