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Beyond Horizon Set 2 Paper 1 · Q10

Paper 1Algebra

Given that

(a3+3b3)(3a3−b3)=8\left(a^3+\frac{3}{b^3}\right)\left(\frac{3}{a^3}-b^3\right)=8

where aa and bb are real numbers, what is the least value of abab?

A−3-\sqrt3
B3\sqrt3
C−23-2\sqrt3
D232\sqrt3
E−913-9^{\frac13}
F9139^{\frac13}
G11
H−1-1

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