A=[1 2/1 3] b= [4 0/ 1 5] c=[ 2 0/1 2] find (a-b) c=ac-bc
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(a-b)c=ac-bc
(12/13 - 40/15)*20/12 = 12/13*20/12 - 40/15*20/12
(180-520)/195*20/12 = 20/13 - 8/3*5/3
-340/195*5/3 = 20/13 - 40/9
-340/39*1/3 = (180-520)/117
-340/117 = -340/117
therefore, LHS=RHS
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