What is the quotient in simplified form? State any restrictions on the variable.

x squared minus sixteen over x squared plus five x plus six divided by x squared plus five x plus four over x squared minus two x minus eight
A.open parentheses x minus four closed parentheses squared over open parentheses x plus three closed parentheses open parentheses x plus one closed parentheses where x does not equal–3, –1
B.open parentheses x plus four closed parentheses squared open parentheses x plus one closed parentheses over open parentheses x plus two closed parentheses squared open parentheses x plus three closed parenthess where x does not equal –3, –2, 4
C.open parentheses x minus four closed parentheses squared over open parentheses x plus three closed parentheses open parentheses x plus one closed parentheses where x does not equal–4, –3, –2, –1, 4
D.one over open parentheses x plus three closed parentheses open parentheses x plus one closed parentheses where x does not equal –4, –3, –2, –1, 4

B. open parentheses x plus four closed parentheses squared open parentheses x plus one closed parentheses over open parentheses x plus two closed parentheses squared open parentheses x plus three closed parentheses where x does not equal –3, –2, 4