SOLUTION: If “*“ is an operator that transforms a, b according to the rule a*b= a-b, determine the “value” of (a*b)*((a*a)*b). "*" is supose to be a triangle

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Question 563418: If “*“ is an operator that transforms a, b according to the rule a*b= a-b, determine the “value” of (a*b)*((a*a)*b).
"*" is supose to be a triangle
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
(a*b)*((a*a)*b)

(a-b)*((a-a)-b)

(a-b)*(0-b)

(a-b)*(-b)

(a-b)-(-b)

a-b+b

a


So (a*b)*((a*a)*b) = a for all values of a and b