NECO Mathematics 2024 Objective — Question 5
Question 5 of 50 from the National Examinations Council (NECO) Mathematics 2024 Objective paper, with the correct answer and a full explanation.
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Simplify: (2p−q)²−(p+q)²
- A. A. 3p(p−2q)Correct
- B. B. 2p(p−3q)
- C. C. 3p(2p−q)
- D. D. 2p(3p−q)
Explanation
(2p−q)²−(p+q)²=4p²−4pq+q²−(p²+2pq+q²)=4p²−4pq+q²−p²−2pq−q²=3p²−6pq=3p(p−2q).
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