= (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).]