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UPCAT Mathematics practice question 19: Expand: (x + 3)(x − 3)

Correct answer

B. x² − 9

This is the difference of two squares: (a + b)(a − b) = a² − b², so the middle terms cancel.

The question

Expand: (x + 3)(x − 3)

  1. Option A: x² + 9
  2. Option B: x² − 9Correct
  3. Option C: x² + 6x − 9
  4. Option D: x² − 6x + 9

Why B is correct

This is the difference of two squares: (a + b)(a − b) = a² − b², so the middle terms cancel.

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