If p + q = 6 and pq = 4, then what is th

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Home Questions 4867SH5QMA

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If p + q = 6 and pq = 4, then what is the value of p³ + q³?

Options:

144

256

Correct Answer:

144

Explanation:

If p + q = 6

pq = 4

p³ + q³ = ?

a³ + b³ = (a + b)³ – 3ab(a + b)

p³ + q³ = (6)³ – 3×4(6)

p³ + q³ = 216 – 72 = 144