Question

\( a * b = (a + b - 1)^2 - 1 \rightarrow (1 * 2) * (3 * 3) = ? \)

• A. 575
• B. 675
• C. 755
• D. 625

Hint:

When solving problems with complex formulas, break the expression into smaller parts to solve step by step.

Answer 1

The Correct Option is B

We are given the formula: \[ a * b = (a + b - 1)^2 - 1 \] Substituting the values \( a = 1 \) and \( b = 2 \) in the formula: \[ (1 * 2) = (1 + 2 - 1)^2 - 1 = (2)^2 - 1 = 4 - 1 = 3 \] Now, substitute these values into the next part of the expression \( (3 * 3) \): \[ 3 * 3 = (3 + 3 - 1)^2 - 1 = (5)^2 - 1 = 25 - 1 = 24 \] Thus, the answer is 675. Therefore, the correct answer is (2) 675.