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 Answer: Option C
Explanation
rs + tr – pt – ps = rs – ps – tr – pt
= (r – p)s + (r – p)t
= (r – p)(s + t),
hence r – p is a factor
rs + tr – pt – ps = rs – ps – tr – pt
= (r – p)s + (r – p)t
= (r – p)(s + t),
hence r – p is a factor