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If A x B implies A2 + B2, AYB implies A2 - B2, AZB implies (A + B)2, AMB implies (A - B)2, calculate the value of (373)M(413) : 
Question

If A x B implies A2 + B2, AYB implies A2 - B2, AZB implies (A + B)2, AMB implies (A - B)2, calculate the value of (373)M(413) : 


A.

  1600

  

B.

900


C.

 400


D.

  2500

Correct option is A

To solve the problem, we need to evaluate (373)M(413) based on the given operation definition:

  • AMB implies (A−B)2.

  • Step-by-step calculation:

  1. A = 373, B = 413.

  2. Using the definition of AMB: 

AMB = (A−B)2

  1. Substituting the values of A and B: 

(373)M(413)= (373−413)2

4. Simplify 373−413 : 

           373 - 413 = −40

5. Square the result : 

         (−40)2 = 1600

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