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

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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 $3(p^3 + q^3)$?

Options:

512

144

288

432

Correct Answer:

432

Explanation:

If p + q = 6

pq = 4

$3(p^3 + q^3)$ = ?

If a + b = n

then, $a^3 + b^3$ = n³ - 3 × nab

$3(p^3 + q^3)$ = 3 × (6³ - 3 × 6 × 4) = 3 × 144 = 432