VERIFY THE PROPERTY x.(y+z)=x.y+x.z by taking x=-3/7, y=12/13, z=-5/6
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given, x=-3/7 ,y=12/13 ,z=5/6
evaluating ;
x(y+z) = x×y+x×z
=>-3/7(12/13+(-5/6))=-3/7×12/13+ (-3/7×-5/6)
L.C.M of 13 and 6 =78(LHS)
=>-3/7(72-65)/78 = -36/91+5/14
L.C.M of 91 and 14 =182(RHS)
=>-3/7×7/78 = (-72+65)182
=>-1/26 = -7/182
=>-1/26 = -1/26
Therefore LHS=RHS
=> x(y+z) = x×y+x×z Hence proved..
hope this will help you....
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