(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