Factorize 6pq-3rs-3ps+6qr
MATHEMATICS
WAEC 2021
Factorize 6pq-3rs-3ps+6qr
- A. 3(r - p)(2q + s)
- B. 3(p + r)( 2q - 2q - s)
- C. 3(2q - s)(p + r)
- D. 3(r - p)(s - 2q)
Correct Answer: C. 3(2q - s)(p + r)
Explanation
6pq-3rs-3ps+6qr = 3 (2pq - rs - ps + 2qr)
= 3 ({2pq + 2qr} {-ps - rs})
= 3 (2q{ p + r} -s{p + r})
= 3 ({2q - s}{p + r})
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