a = 18/35, b = 5/9, c = 7/12 then, prove a×(b-c) = (a×b) - (a×c)
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Step-by-step explanation:
a*(b-c) =18/35(5/9-7/12)
= 18/35((4*5-7*3)/36)
=18/35*((20-21)/36)
=18/35(-1/36)
=-1/70
a*b= 18/35*5/9= 2/7
a*c= 18/35*7/12
a*b-a*c= 2/7-3/10
= (2*10-3*7)/70
=(20-21)/70= -1/70
hence a*(b-c) =a*b-a*c
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