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JAMB 1998 · UME · Q11

Factorize r2−r(2p+q)+2pqr^2 - r(2p + q) + 2pq.

Worked solution (try it first)
  1. Expand the bracket: r2−2pr−qr+2pqr^2 - 2pr - qr + 2pq.
  2. Group in pairs and take out common factors: r(r−2p)−q(r−2p)r(r - 2p) - q(r - 2p).
  3. Take out the common bracket: (r−q)(r−2p)(r - q)(r - 2p), option C.

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