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Factorize 6pq-3rs-3ps+6qr

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Mathematics WAEC 2021

Factorize 6pq-3rs-3ps+6qr

  • 3(r -p)(2q + s)
  • 3(p + r)( 2q - 2q - s)
  • 3(2q - s)(p + r) checkmark
  • 3(r - p)(s - 2q)

The correct answer is: C

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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