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      Question

      Simplify the following expression:

      ((32)4 - 1)/33Γ—31Γ— (210+1)
      A 1 Correct Answer Incorrect Answer
      B 2 Correct Answer Incorrect Answer
      C -2 Correct Answer Incorrect Answer
      D -1 Correct Answer Incorrect Answer

      Solution

      a=32 and b =1 (a4-b4) = (aΒ²+bΒ²) (a+b) (a-b) ((32)4 – 14)/33Γ—31Γ— (210+1) = ((32)2 +1) (32+1) (32-1) / 33Γ—31Γ— (210+1) = ((25)2+1) Γ—33Γ—31 /33Γ—31Γ— (210+1) = (210+1)/ (210+1) =1.

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