The value of ( x^b + c )^b - c × ( x^c + a )^c - a × ( x^a + b )^a - b is?

Answer: Option A

$$\begin{array}{rl}& {\left(x^{b+c}\right)}^{b-c}\times {\left(x^{c+a}\right)}^{c-a}\times {\left(x^{a+b}\right)}^{a-b}\left(x\ne 0\right)\\ & =x^{b^2-c^2}\times x^{c^2-a^2}\times x^{a^2-b^2}\\ & =x^{b^2-c^2+c^2-a^2+a^2-b^2}\\ & =x^0\\ & =1\end{array}$$