If x, y, P, and Q are positive integers such that x + y = P and \(x^2=\dfrac{Q^2}{Y^2},\) then

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If x, y, P, and Q are positive integers such that x + y = P and \(x^2=\dfrac{Q^2}{Y^2},\) then (x-3y)(y+3x)=

A. \(3P^2-8Q\)
B. \(3PQ-8Q\)
C. \(3Q^2-8Q\)
D. \(3P(\sqrt{P^2-4Q})-8Q\)
E. \(3P(\sqrt{P-2Q})-8Q\)

OA D