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

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: HOW WOULD I SIMPLIFY THIS EXPRESSION 1/y - 1/y-3      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
SIMPLIFY THIS EXPRESSION
1/y - 1/y-3
----------
The denominators are different so you need a "least common denominator" (lcd)
--------
Rewrite each fraction with the lcd as its denominator.
The lcd=y(y-3)
----------------
=(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.