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SMITH
Posted: Tuesday, January 12, 2010 3:47:01 AM
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Simplify the rational expression.
(p2 - 10p + 25)/(25 - p2)
ors51
Posted: Tuesday, January 12, 2010 4:36:03 AM
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Joined: 11/11/2008
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Location: New York

 = (p2  10p + 25) / (25  p2) [Original expression]

 = (p  5)(p  5) / (5  p)(5 + p)   [Factor the numerator and the denominator.]

 = (p  5) × 1 × (5  p) / (5  p)(5 + p)  [Factor 1 from (p 5).]

 = (p  5) / (5 + p) [Divide out the common factor (5 p).]


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