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GMAT Problem Solving (PS) | 4(xy)^3 + (x^3 − y^3)^2 =

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Bunuel wrote:

\(4(xy)^3 + (x^3 − y^3)^2 =\)


(A) \(x^3 − y^3\)

(B) \((x^2 + y^2)^3\)

(C) \((x^3 + y^3)^3\)

(D) \((x^3 − y^3)^2\)

(E) \((x^3 + y^3)^2\)


\(4(xy)^3 + (x^3 − y^3)^2 =\) - expand the Square of a Difference:

\(4(xy)^3\) +\(x^6 - (2)(xy)^3 + y^6\) =

\(x^6 + (2)(xy)^3 + y^6\) = the expanded version of Square of a Sum ==>

\((x^3 + y^3)^2\)
Answer
[Reveal] Spoiler:
E

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