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

  • A (p - s)
  • B (s - p)
  • C r - p)
  • D r + p)
jamb 1991mathematics

The correct answer is C. r - p)

We can factorize the expression `rs + tr - pt - ps` by grouping the terms as follows:

rs + tr - pt - ps

= (rs + tr) - (pt + ps)

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

= (r - p)(s + t)

So, one of the factors of `rs + tr - pt - ps` is `(r - p)`, which corresponds to answer choice **C**.

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