A binary operation is defined on real numbers by a b = a b + 2 a - b. What is the value of 4 * 3?

Answer and explanation

Correct answer: C. 17

  1. Step 1: Substitute a = 4 and b = 3 into the given algebraic definition: 4 * 3 = (4)(3) + 2(4) - 3.
  2. Step 2: Compute individual products: (4)(3) = 12; 2(4) = 8.
  3. Step 3: Combine terms: 12 + 8 - 3 = 20 - 3 = 17.
Answer
17.
Why not the others: '14' subtracts 2(4) instead of adding; '19' adds 3 instead of subtracting; '12' computes only the product a * b.

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