Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If p + q = 7 and pq = 5, then the value of $p^{3}+q^{3}$ is:

Options:

34

238

448

64

Correct Answer:

238

Explanation:

If p + q = 7

pq = 5,

then the value of $p^{3}+q^{3}$

If x + y  = n

then, $x^3 + y^3$ = n3 - 3 × n × xy

$p^{3}+q^{3}$ = 73 - 3 × 7 × 5

$p^{3}+q^{3}$ =343 - 105

$p^{3}+q^{3}$ = 238