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Verity the property: x\ "x"\ (y+z)=x\ "x...

Verity the property: `x\ "x"\ (y+z)=x\ "x"\ y+x\ "x"\ z\ b y\ t a k ing:\ `
(i)`x=(-3)/7, y=(12)/(13), z=(-5)/6`
(ii)`x=(-12)/5, y=(-15)/4, z=8/3`

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Verified by Experts

(i)`x=(-3)/7, y=(12)/(13), z=(-5)/6`
`=>[(-3)/7 xx 12/13] xx (-5)/6=(-3)/7 xx [12/13 xx (-5)/6]`
`=>36/91 xx 5/6=3/7 xx 60/78`
`=>180/546=180/546`

(ii)`x=(-12)/5, y=(-15)/4, z=8/3`
`=>[(-12)/5 xx (-15)/4] xx 8/3=(-12)/5 xx [(-15)/4 xx 8/3]`
`=>180/20 xx 8/3=12/5xx 120/12`
`=>1440/60=1440/60`
Hence Verified.
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