Question # If ( A B=A ) and ( B A=B, ) then ( B^{2} ) is

# If ( A B=A ) and ( B A=B, ) then ( B^{2} ) is

a. ( B )

b. ( A )

( c .1 )

d 0

Solution

( begin{aligned} A B=A & text { and } B A=C B^{2}=& B cdot B Rightarrow B^{2}=&(B A) cdot B Rightarrow B^{2}=& B cdot(A B) Rightarrow B^{2}=& B cdot A Rightarrow B^{2}=& B &=text { option }(a) B end{aligned} )