SOLUTION: HOW WOULD I SIMPLIFY THIS EXPRESSION 1/y - 1/y-3

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Question 67096This question is from textbook 0-534-49449-8
: HOW WOULD I SIMPLIFY THIS EXPRESSION
1/y - 1/y-3
This question is from textbook 0-534-49449-8

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
SIMPLIFY THIS EXPRESSION
1/y - 1/y-3
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The denominators are different so you need a "least common denominator" (lcd)
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Rewrite each fraction with the lcd as its denominator.
The lcd=y(y-3)
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=(y-3)/lcd - y/lcd
=Combine the numerators over the lcd as follows:
=[y-3-y]/lcd
Simplify to get:
=-3/[y(y-3)]
or
=-3/[y^2-3y]
Cheers,
Stan H.

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