Let a, b be any positive integers and x = 0 or 1, then

A

$$a^{x}b^{1-x}=xa+(1-x)b$$

B

$$a^{x}b^{1-x}=(1-x)a+xb$$

C

$$a^{x}b^{(1-x)}=a(1-x)bx$$

D

None of the above is necessarily true.