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Which of the following is a factor of rs tr - p... - JAMB Mathematics 1991 Question

Which of the following is a factor of rs + tr - pt - ps?
A
(p - s)
B
(s - p)
C
r - p)
D
r + p)
correct option: c
rs + tr - pt - ps = rs - ps - tr - pt

= (r - p)s + (r - p)t

= (r - p)(s + t),

hence r - p is a factor
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