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Factorize m(2a-b)-2n(b-2a)

Mathematics
WAEC 2002

Factorize m(2a-b)-2n(b-2a)

  • A. (2a-b)(2n-m)
  • B. (2a+b)(m-2n)
  • C. (2a-b)(m+2n)
  • D. (2a-b)(m-2n)
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Correct Answer: Option C
Explanation

m(2a - b) - 2n(b - 2a)

= m(2a - b) - (-2n)(2a - b)

= m(2a - b) + 2n(2a - b)

= (m + 2n)(2a - b)

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