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MathNet 2016-part-05 — 184 problems (EN–VI) Question 104

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 104

Into which of the following expressions can the expression $\left(x+y+\frac{1}{4}\right)^{2}-\left(x+y-\frac{1}{4}\right)^{2}$ be transformed?
(A) $4 x y$
(B) $\frac{1}{16}$
(C) $\frac{1}{8}$
(D) $0$
(E) $x+y$