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WAEC Mathematics 2026 Question 17

Question 17

Algebraic Expressions

Factorize completely: (h2 − k2) − p(h + k)

  1. A.h2 − k2 − h − kp
  2. B.(h + k)(h − k − p)
  3. C.(h + k)(h − k)
  4. D.(h − k)2
Show the answer and explanation

Answer: B ((h + k)(h − k − p))

Explanation

h² − k² = (h + k)(h − k), so the expression is (h + k)[(h − k) − p] = (h + k)(h − k − p).