Question

verify the following.2/3×(1/5+-4/5)=(2/3×1/5)+(2/3×-4/7)

Answer 1

LHS

2/3×(1/5+-4/5) = (2/3)×[(1-4)/5] = (2/3)×(-3/5) = -(2/5)

RHS

(2/3×1/5)+(2/3×-4/5) = (2/15)+(-8/15) = (2/15)-(8/15) = (2-8)/15 = -(6/15) = -(2/5)

Hence LHS  =  RHS