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By factorizing algebraic expression mp - np + mq - nq, answer will be

  • A.(p - q)(m + n)
  • B.(p + q)(m - n)
  • C.(2p + 4q)(m - n)
  • D.(4p + q)(m - 3n)

Answer: B

Group the terms in pairs and factor each.

\[ mp - np + mq - nq = p(m - n) + q(m - n) \]

\[ = (p + q)(m - n) \]

The bracket \( (m-n) \) appears in both parts, so it comes out as the common factor.

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