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Question

If the sum of a,b,c is an even prime number,  then find the value of 24abc×24bca×24cab×24cab


Solution

Only even prime is 2. a+b+c=2
24abc.24bca.24cab
=24a2a+4b2b+4c2c (using the property am.an=am+n)
=22a+2b+2c=22(a+b+c)=22(2)=24=16
 

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