Answer :
Answer:
Let's simplify the expression step by step:
(x + y)¯¹ (x¯¹ + y¯¹) (xy¯¹ + x¯¹)¯¹
= 1/(x + y) * (1/x + 1/y) * 1/(xy + x)
= (1/(x + y)) * (1/(xy + x + y))
= 1/(x + y)(xy + x + y)
None of the given options match this result. It seems like there might be a mistake in the expression or options provided.