Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + b = 8 and ab = 12, then the value of $a^3+b^3$ is :

Options:

224

96

288

512

Correct Answer:

224

Explanation:

If x + y  = n

then, $x^3 + y^3$ = n3 - 3 × n × xy

If a + b = 8

ab = 12,

then the value of $a^3+b^3$ is = 83 - 3 × 8 × 12

$a^3+b^3$ = 512 - 288

 $a^3+b^3$ = 224