If x - y = 4 and xy = 3, then what is th

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x - y = 4 and xy = 3, then what is the value of $x^3 - y^3$ ?

Options:

100

Correct Answer:

100

Explanation:

If, x - y = k,

then x³ - y³ = k³ + 3k × xy.

If x - y = 4

xy = 3,

then what is the value of $x^3 - y^3$

x³ - y³ = (4)³ + 3 × 4 × 3 = 64 + 36 = 100