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

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

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) (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