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WAEC 2021 · Paper 1 · Q7

Factorize 6pq−3rs−3ps+6qr6pq - 3rs - 3ps + 6qr.

Worked solution (try it first)
  1. Rearrange so the pairs share a factor: 6pq+6qr−3ps−3rs6pq + 6qr - 3ps - 3rs.
  2. Factorise each pair: 6q(p+r)−3s(p+r)6q(p + r) - 3s(p + r).
  3. Take out p+rp + r and then 3: (p+r)(6q−3s)=3(2q−s)(p+r)(p + r)(6q - 3s) = 3(2q - s)(p + r), option C.

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