If \(x-y= R\) and \(xy=S,\) then \((x-2)(y+2)=\)

[Vincen]

If \(x-y= R\) and \(xy=S,\) then \((x-2)(y+2)=\)

A. \(R+S-4\)

B. \(R+2S -4\)

C. \(2R - S -4\)

D. \(2R + S - 4\)

E. \(R + S\)

[spoiler]OA=D[/spoiler]

Source: Official Guide

[iammohakjain]

re-writing the equation :
xy-2y+2x-4 => xy+2(x-y) -4 => S+2R -4