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One of the factors of (mn - nq - n\(^2\) + mq) is (m -...

Mathematics
WAEC 2011

One of the factors of (mn - nq - n\(^2\) + mq) is (m - n). The other factor is?

  • A. (n - q)
  • B. (q - n)
  • C. (n + q)
  • D. (q - m)
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Correct Answer: Option C
Explanation

mn - nq - n\(^2\) + mq

mn - n\(^2\) - nq + mq

(mn - n\(^2\)) (mq - nq)

n(m - n) + q(m - n)

= (n +q) (m - n)


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