WAEC Mathematics 2021 Question 7

Question 7

Algebraic Expressions

Factorize 6pq − 3rs − 3ps + 6qr.

  1. A.3(r − p)(2q + s)
  2. B.3(p + r)(2q − s)
  3. C.3(p − r)(2q − s)
  4. D.3(r − p)(s − 2q)
Show the answer and explanation

Answer: B (3(p + r)(2q − s))

Explanation

Group: 6pq + 6qr − 3ps − 3rs = 6q(p + r) − 3s(p + r) = 3(p + r)(2q − s).