Question

$a*b = a^2 + b^2 - 2ab \Rightarrow ((a*a))*(c*c) = ?$

• A. 0
• B. 1
• C. 2
• D. a+b+c

Hint:

Whenever an operation $a*b$ involves $a-b$, any term $x*x$ will always result in 0.

Answer 1

The Correct Option is A

Step 1: Concept
Recognize the algebraic identity represented by the operation and simplify the nested expression.

Step 2: Meaning
$a*b = (a-b)^2$. Therefore, $a*a = (a-a)^2 = 0$. Similarly, $c*c = (c-c)^2 = 0$.

Step 3: Analysis
The expression becomes $0*0$.

Step 4: Conclusion
$0*0 = (0-0)^2 = 0$. Final Answer: (A)