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Factorize r2 - r(2p + q) + 2pq

Mathematics
JAMB 1998

Factorize r2 - r(2p + q) + 2pq

  • A. (r - 2q)(2r - p)
  • B. (r - p)(r + p0
  • C. (r - q)(r - 2p)
  • D. (2r - q)(r + p)
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Correct Answer: Option C
Explanation

r2 - r(2p + q) + 2pq = r2 - 2pr -qr + 2pq

= r(r - 2p) - q(r - 2p)

= (r - q)(r - 2p)


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