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(a - b)² =

  • A.a² - 2ab + b²
  • B.a² + 2ab + b²
  • C.a² - b²
  • D.a² + b²

Answer: A

\[ (a-b)^{2} = (a-b)(a-b) = a^{2} - ab - ab + b^{2} \]

\[ = a^{2} - 2ab + b^{2} \]

The middle term is essential: \( (a-b)^{2} \) is not \( a^{2} - b^{2} \), which factorises as \( (a+b)(a-b) \) instead.

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