Mathematics

Problem

D = \begin{vmatrix} 1 & 1 & 1 \\ 1 & 1+x & 1 \\ 1 & 1 & 1+y \end{vmatrix}

for

x \neq 0, y \neq 0

, then

D

is a. divisible by neither

x

nor

y

b. divisible by both

x

and

y

c. divisible by

x

but not

y

d. divisible by

y

but not

x