Question: Simplify the rational expression.
(p2 - 10p + 25)(25 -p2)

A ) - (p - 5)(5 + p)
B ) - (p - 5)(5 - p)
C ) - (p + 5)(5 + p)
D ) (p - 6)(4 + p)

Steps to derive

1 (p2 - 10p + 25)(25 -p2)
 [Original expression.]

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

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

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



Hence the right answer is Option A

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