If x3 + y3 = 855 x + y = 15 Find the v - CUETMOCK

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x³ + y³ = 855

x + y = 15

Find the value of xy.

Options:

15

45

56

58

Correct Answer:

56

Explanation:

x³ + y³ = 855

x + y = 15

(x + y)³ = x³ + y³ + 3xy (x + y)

3375 = 855 + 45xy

xy = \(\frac{2520}{45}\)

xy = 56

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