WAEC - Mathematics (2011 - No. 6)

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

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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