JAMB 1991 · UME · Q19

Which of the following is a factor of rs+tr−pt−psrs + tr - pt - ps?

Worked solution (try it first)
  1. Group the terms with rr and those with pp: (rs+rt)−(pt+ps)(rs + rt) - (pt + ps).
  2. Take out the common factors: r(s+t)−p(s+t)r(s + t) - p(s + t).
  3. Take out the common bracket: (r−p)(s+t)(r - p)(s + t).
  4. So r−pr - p is a factor, option C.

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