If x + 1x + 1 = 1, then ( x + 1 )^5 + 1 ( x + 1 )^5 equals?

Answer: Option B

$$\begin{array}{rl}& x+\frac{1}{x+1}=1\\ & \text{Adding both 1 sides}\\ & \Rightarrow x+1+\frac{1}{x+1}=1+1\\ & \Rightarrow \left(x+1\right)+\frac{1}{\left(x+1\right)}=2\\ & \text{Put }x+1=1\\ & \text{And }\frac{1}{x+1}=1\\ & \therefore {\left(x+1\right)}^5\text{ + }\frac{1}{{\left(x+1\right)}^5}\\ & =1+1\\ & =2\end{array}$$