Question

If \( a b = a + b + ab \), then \( 3 4 - 2 3 \) is equal to

• A. 6
• B. 8
• C. 10
• D. 12

Hint:

For questions defining a new binary operator (like ''), carefully substitute the given values into the definition. Pay close attention to the order of operations if the expression is complex.

Answer 1

The Correct Option is B

Step 1: Calculate the value of \( 3 4 \). Using the given definition \( a b = a + b + ab \): For \( a=3, b=4 \): \[ 3 4 = 3 + 4 + (3)(4) = 7 + 12 = 19 \]
Step 2: Calculate the value of \( 2 3 \). For \( a=2, b=3 \): \[ 2 3 = 2 + 3 + (2)(3) = 5 + 6 = 11 \]
Step 3: Calculate the final expression. \[ 3 4 - 2 3 = 19 - 11 = 8 \] The result is 8.