For all real , is equivalent to which expression?

Answer and explanation

Correct answer: C.

  1. Step 1: Express each term with a common base of : , , and .
  2. Step 2: Combine the numerator powers using exponent addition: .
  3. Step 3: Subtract the denominator exponent: .
Answer
.
Why not the others: - '' drops the constant terms entirely and miscalculates as . - '' treats as in the denominator instead of (). - '' makes an error subtracting , treating it as with a sign inversion or omitted term.

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