If (x + 6y) = 8, and xy = 2, where x>

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If (x + 6y) = 8, and xy = 2, where x>0, what is the value of (x³ + 216y³)?

Options:

288

224

368

476

Correct Answer:

224

Explanation:

If (x + 6y) = 8

xy = 2

what is the value of (x³ + 216y³)

If (x + 6y) = 8

(x³ + 216y³) = 8³ - 3 × 8 × 2 × 6 = 224