Determine the value of 'x', if x = ( 943 + 864 )^2 - ( 943 - 864 )^2 ( 1886 × 1728 )

Answer: Option A

$$\begin{array}{rl}& a=943\therefore 2a=1886\\ & b=864\therefore 2b=1728\\ & \therefore \text{Expression}\\ & =\frac{{\left(a+b\right)}^2-{\left(a-b\right)}^2}{2a\times 2b}\\ & =\frac{4ab}{4ab}\\ & =1\end{array}$$