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Paragraph: Read the following information and answer: Let 3 A A =K , where A 0 and K 1 3 . Question: What is ^2 A equal to?

Options

  1. AK+3 3 K-1
  2. BK-3 3 K-1
  3. C3 K-3 K-3
  4. DK+3 3 K+1

Correct answer

B. K-3 3 K-1

Step-by-step solution

aligned & 3 A A =K & 3 A- ^3 A A (1-3 ^2 A ) =K & (3- ^2 A ) (1-3 ^2 A ) =K aligned aligned & 3- ^2 A=K-3 K ^2 A & (3 K-1) ^2 A=K-3 ^2 A= K-3 (3 K-1) aligned

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