If x3 + y3 = 468 x + y = 12 Find the v - CUETMOCK

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x³ + y³ = 468

x + y = 12

Find the value of xy.

Options:

32

38

40

35

Correct Answer:

35

Explanation:

x³ + y³ = 468

x + y = 12

(x + y)³ = x³ + y³ + 3xy (x + y)

1728 = 468 + 36xy

xy = \(\frac{1260}{36}\)

xy = 35

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