GMAT Linear Equations Explained — X-y=R and x y=S, then (x-2)(y+2)=

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

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Explanation	Calculations	Help
$We start by distributing each term of the first binomial across the second binomial.$	$(x - 2) (y + 2) = x y + 2 x - 2 y - 4$
$Next, we substitute x y = S and factor out the common factor of 2 from the x and y terms.$	$x y + 2 x - 2 y - 4 = S + 2 (x - y) - 4$	Theory & Tactics Method Card EQUA3-A Click to view full details
$Finally, we replace x - y with R to simplify the expression.$	$S + 2 (x - y) - 4 = S + 2 R - 4$

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2 R + S - 4