If (p+q) = 5 and pq = 18, then what is t

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If (p+q) = 5 and pq = 18, then what is the value of $p^3 + q^3$ ?

Options:

-270

125

-145

135

Correct Answer:

-145

Explanation:

p + q = 5

pq = 18

We know,

(p + q)³ = p³ + q³ + 3pq (p + q)

= 5³ = p³ + q³ + 3 × 18 × 5

= p³ + q³ = 125 - 270

= p³ + q³ = -145