Verify the property: by taking:
(i)
(ii)
(iii)
(iv)
(i) () * ( + )
= * + *
= +
=
=
=
x * y + x * z =
() * () = *
=
() * ( + ) = () * () + () * ()
(ii) () * ( + )
= * ( )
=
x * y + x * z
() * () + () * ()
=
(iii) * ( + ) = () * () + () * ()
* () = +
=
=
Therefore,
L.H.S = R.H.S
(iv) ( + ) = () * () + () * ()
* + * = ( + )
+ = ( - )
= ( – )
= ()
=
1 = 1
Therefore,
L.H.S = R.H.S