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If expression A = (mn + 4 − 3) and B = (−2mn + 3), A + B equals:

A. −mn + 3
B. −mn + 4
C. mn + 6
D. −mn + 1
Correct Answer: B. −mn + 4

This question tests the ability to add algebraic expressions by combining like terms. First, simplify expression A, then add it to expression B.

  • Simplify A: A = mn + 4 - 3 = mn + 1.
  • Now, add A and B: A + B = (mn + 1) + (-2mn + 3).
  • Combine the 'mn' terms: mn + (-2mn) = mn - 2mn = -mn.
  • Combine the constant terms: 1 + 3 = 4.
  • Correct Option B: −mn + 4 is accurate because combining the simplified expressions yields -mn + 4.
  • Option A: −mn + 3 is incorrect as the constant term would be 3 if A was mn+2.
  • Option C: mn + 6 is incorrect as the 'mn' term is wrong and the constant term is wrong.
  • Option D: −mn + 1 is incorrect as the constant term would be 1 if B was -2mn.

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