Let 
and a = 4, b = –2.
Show that:
(a + b)B = aB + bB
To prove: (a + b)B = aB + bB
Given, a = 4 and b = -2
LHS = (4+(-2))B = 
RHS = aB + bB = 
⇒ RHS = 
Clearly LHS = RHS = 
Hence,
(a + b)B = aB + bB …proved
32
Let and a = 4, b = –2.
Show that:
(a + b)B = aB + bB
To prove: (a + b)B = aB + bB
Given, a = 4 and b = -2
LHS = (4+(-2))B =
RHS = aB + bB =
⇒ RHS =
Clearly LHS = RHS =
Hence,
(a + b)B = aB + bB …proved