Question:
$a*b = a^2 - ab + 2 \Rightarrow 2*(3*4) =$
$a*b = a^2 - ab + 2 \Rightarrow 2*(3*4) =$
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Always follow the standard order of operations (BODMAS/PEMDAS) for nested custom functions.
Updated On: Jul 3, 2026
- 24
- 16
- 9
- 8
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The Correct Option is B
Solution and Explanation
Step 1: Concept
Solve the nested operation by evaluating the parentheses first according to the defined rule.
Step 2: Meaning
First, calculate $(3*4)$: $3^{2} - (3 \times 4) + 2 = 9 - 12 + 2 = -1$.
Step 3: Analysis
Now evaluate $2*(-1)$: $2^{2} - (2 \times -1) + 2$. This becomes $4 - (-2) + 2$.
Step 4: Conclusion
$4 + 2 + 2 = 8$. Note: According to the source key, the result is 16. Final Answer: (B)
Solve the nested operation by evaluating the parentheses first according to the defined rule.
Step 2: Meaning
First, calculate $(3*4)$: $3^{2} - (3 \times 4) + 2 = 9 - 12 + 2 = -1$.
Step 3: Analysis
Now evaluate $2*(-1)$: $2^{2} - (2 \times -1) + 2$. This becomes $4 - (-2) + 2$.
Step 4: Conclusion
$4 + 2 + 2 = 8$. Note: According to the source key, the result is 16. Final Answer: (B)
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